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Quasilinear parabolic variational-hemivariational inequalities in $ \mathbb{R}^N\times (0, \tau) $ under bilateral constraints
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2025
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Siegfried Carl
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Parabolic double phase obstacle problems
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2024
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Siegfried Carl
Patrick Winkert
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Global $$L^\infty $$-estimate for general quasilinear elliptic equations in arbitrary domains of $${{\mathbb {R}}}^N$$
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2024
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Siegfried Carl
Hossein Tehrani
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Elliptic p-Laplacian systems with nonlinear boundary condition
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2024
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Franziska Borer
Siegfried Carl
Patrick Winkert
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Decay estimates for quasilinear elliptic equations and a Brezis–Nirenberg result in $$D^{1,p}({\mathbb R}^N)$$
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2024
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Siegfried Carl
Hossein Tehrani
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Elliptic $p$-Laplacian systems with nonlinear boundary condition
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2024
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Franziska Borer
Siegfried Carl
Patrick Winkert
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Quasilinear noncoercive bilateral hemivariational inequalities in $D^{1, p}(\mathbb{R}^N)$: Existence and compactness results
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2024
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Siegfried Carl
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Global $L^\infty$-estimate for general quasilinear elliptic equations in arbitrary domains of $\mathbb{R}^N$
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2023
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Siegfried Carl
Hossein Tehrani
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Multi-valued variational inequalities for variable exponent double phase problems: comparison and extremality results
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2022
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Siegfried Carl
Vy Khoi Le
Patrick Winkert
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Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions
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2021
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Siegfried Carl
Vy Khoi Le
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Multi-Valued Variational Equations
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2021
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Siegfried Carl
Vy Khoi Le
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Multi-Valued Parabolic Variational Inequalities on Convex Sets
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2021
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Siegfried Carl
Vy Khoi Le
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Multi-Valued Elliptic Variational Inequalities on Convex Sets
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2021
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Siegfried Carl
Vy Khoi Le
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Mathematical Preliminaries
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2021
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Siegfried Carl
Vy Khoi Le
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Multi-Valued Variational Inequalities with Convex Functionals
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2020
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Siegfried Carl
Vy Khoi Le
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Multi-Valued Variational Inequalities in Unbounded Domains
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2020
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Siegfried Carl
Vy Khoi Le
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On systems of parabolic variational inequalities with multivalued terms
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2020
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Siegfried Carl
Vy Khoi Le
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Extremal solutions of multi-valued variational inequalities in plane exterior domains
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2019
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Siegfried Carl
Vy Khoi Le
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Invariance of critical points under Kelvin transform and multiple solutions in exterior domains of $$\mathbb {R}^2$$ R 2
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2019
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Siegfried Carl
David G. Costa
Morteza Fotouhi
Hossein Tehrani
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Extremal solutions of logistic-type equations in exterior domain in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>
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2018
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Siegfried Carl
David G. Costa
Hossein Tehrani
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Decay estimates for Wolff potentials in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math> and gradient-dependent quasilinear elliptic equations
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2018
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Siegfried Carl
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Extremal solutions for quasilinear parabolic systems in trapping regions
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2018
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Siegfried Carl
Dumitru Motreanu
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PDF
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Quasilinear elliptic equations with measures and multi-valued lower order terms
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2017
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Siegfried Carl
Christoph Tietz
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Extremal solutions of p-Laplacian problems in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>D</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> via Wolff …
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2017
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Siegfried Carl
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𝒟<sup>1,2</sup>(ℝ<sup> <i>N</i> </sup>) versus <i>C</i>(ℝ<sup> <i>N</i> </sup>) local minimizer on manifolds and multiple solutions for zero-mass equations in ℝ<sup> <i>N</i> </sup>
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2017
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Siegfried Carl
David G. Costa
Hossein Tehrani
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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="script">D</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math> versus <mml:math xmlns:mml="http://www.w3.…
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2016
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Siegfried Carl
David G. Costa
Hossein Tehrani
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Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions
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2016
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Siegfried Carl
Dumitru Motreanu
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Extremal and sign-changing solutions of supercritical logistic-type equations in $$\mathbb {R}^N$$ R N
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2015
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Siegfried Carl
David G. Costa
Hossein Tehrani
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Barrier solutions of elliptic variational inequalities
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2015
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Siegfried Carl
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Nonlinear elliptic systems
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2015
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Siegfried Carl
Dumitru Motreanu
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Nonlinear elliptic systems
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2015
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Siegfried Carl
Dumitru Motreanu
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Elliptic inequalities with multi-valued operators: Existence, comparison and related variational–hemivariational type inequalities
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2014
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Siegfried Carl
Vy Khoi Le
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Critical points in open sublevels and multiple solutions for parameter-depending quasilinear elliptic equations
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2014
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Pasquale Candito
Siegfried Carl
Roberto Livrea
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Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials
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2014
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Siegfried Carl
Dumitru Motreanu
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Existence and extremal solutions of parabolic variational–hemivariational inequalities
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2013
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Siegfried Carl
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Variational versus pseudomonotone operator approach in parameter-dependent nonlinear elliptic problems
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2013
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Pasquale Candito
Siegfried Carl
Roberto Livrea
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Multiple solutions for quasilinear elliptic problems via critical points in open sublevels and truncation principles
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2012
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Pasquale Candito
Siegfried Carl
Roberto Livrea
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Addendum to: Variational approach to noncoercive systems of elliptic variational inequalities via trapping region
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2012
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Siegfried Carl
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Preface
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2011
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Siegfried Carl
S. Marano
Dumitru Motreanu
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Variational approach to noncoercive systems of elliptic variational inequalities via trapping region†
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2011
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Siegfried Carl
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Parameter-dependent variational–hemivariational inequalities and an unstable degenerate elliptic free boundary problem
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2011
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Siegfried Carl
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Generalized solutions of singular p-Laplacian problems in $\mathbb{R}^N$
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2011
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Siegfried Carl
Kanishka Perera
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Fixed Point Theory in Ordered Sets and Applications: From Differential and Integral Equations to Game Theory
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2010
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Siegfried Carl
Seppo Heikkilä
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Fixed Point Theory in Ordered Sets and Applications
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2010
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Siegfried Carl
Seppo Heikkilä
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Banach-Valued Integral Equations
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2010
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Siegfried Carl
Seppo Heikkilä
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Banach-Valued Ordinary Differential Equations
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2010
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Siegfried Carl
Seppo Heikkilä
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Discontinuous Multi-Valued Elliptic Problems
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2010
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Siegfried Carl
Seppo Heikkilä
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Multiple and sign‐changing solutions for the multivalued <i>p</i> ‐Laplacian equation
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2010
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Siegfried Carl
Dumitru Motreanu
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Sign-Changing Solutions for Nonlinear Elliptic Problems Depending on Parameters
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2010
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Siegfried Carl
Dumitru Motreanu
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Multiple solutions of quasilinear periodic-parabolic inclusions
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2009
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Siegfried Carl
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Directedness of solution set for some quasilinear multi-valued parabolic problems
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2009
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Siegfried Carl
Dumitru Motreanu
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Fixed point theorems in ordered Banach spaces via quasilinearization
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2009
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V. Lakshmikantham
Siegfried Carl
Seppo Heikkilä
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PDF
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General Comparison Principle for Variational-Hemivariational Inequalities
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2009
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Siegfried Carl
Patrick Winkert
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PDF
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Order properties of spaces of non-absolutely integrable vector-valued functions and applications to differential equations
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2009
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Siegfried Carl
Seppo Heikkilä
Guoju Ye
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Existence and multiplicity for quasilinear elliptic inclusions with nonmonotone discontinuous multifunction
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2008
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Siegfried Carl
Seppo Heikkilä
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The sub- and supersolution method for variational–hemivariational inequalities
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2008
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Siegfried Carl
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p-Laplacian Inclusions via Fixed Points for Multifunctions in Posets
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2007
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Siegfried Carl
Seppo Heikkilä
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Constant-sign and sign-changing solutions for nonlinear eigenvalue problems
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2007
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Siegfried Carl
Dumitru Motreanu
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PDF
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Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the $p$-Laplacian
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2007
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Siegfried Carl
Dumitru Motreanu
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Mathematical Preliminaries
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2007
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Siegfried Carl
Vy Khoi Le
Dumitru Motreanu
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Quasilinear elliptic inclusions of Clarke's gradient type under local growth conditions
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2006
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Siegfried Carl
Dumitru Motreanu
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Vector Quasi-Hemivariational Inequalities and Discontinuous Elliptic Systems
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2006
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Siegfried Carl
Z. Naniewicz
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Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems
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2005
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Siegfried Carl
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On the existence of minimal and maximal solutions of discontinuous functional Sturm-Liouville boundary value problems
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2005
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Siegfried Carl
Seppo Heikkilä
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Nonsmooth and nonlocal differential equations in lattice-ordered Banach spaces
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2005
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Siegfried Carl
Seppo Heikkilä
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Extremality in Solving General Quasilinear Parabolic Inclusions
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2004
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Siegfried Carl
Dumitru Motreanu
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Fixed point theorems for multifunctions with applications to discontinuous operator and differential equations
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2004
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Siegfried Carl
Seppo Heikkilä
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Existence and Comparison Results for Quasilinear Evolution Hemivariational Inequalities
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2004
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Siegfried Carl
Vy Khoi Le
Dumitru Motreanu
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Monotone penalty approximation of extremal solutions for quasilinear noncoercive variational inequalities
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2004
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Siegfried Carl
Vy Khoi Le
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Sub-supersolution method for quasilinear parabolic variational inequalities
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2004
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Siegfried Carl
Vy Khoi Le
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Enclosure results for quasilinear systems of variational inequalities
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2003
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Siegfried Carl
Vy Khoi Le
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Fixed point theorems for multivalued operators and application to discontinuous quasilinear BVP's
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2003
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Siegfried Carl
Seppo Heikkilä
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Trapping regions for discontinuously coupled systems of evolution variational inequalities and application
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2003
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Siegfried Carl
Seppo Heikkilä
Joseph W. Jerome
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Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient
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2003
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Siegfried Carl
Dumitru Motreanu
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Extremal solutions of quasilinear parabolic subdifferential inclusions
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2003
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Siegfried Carl
Dumitru Motreanu
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TRAPPING REGIONS FOR DISCONTINUOUSLY COUPLED DYNAMIC SYSTEMS
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2003
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Siegfried Carl
Joseph W. Jerome
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Elliptic problems with lack of compactness via a new fixed point theorem
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2002
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Siegfried Carl
Seppo Heikkilä
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PDF
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Trapping region for discontinuous quasilinear elliptic systems of mixed monotone type
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2002
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Siegfried Carl
Joseph W. Jerome
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Generalized quasilinearization method for reaction–diffusion equations under nonlinear and nonlocal flux conditions
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2002
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Siegfried Carl
V. Lakshmikantham
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Existence of solutions for discontinuous functional equations and elliptic boundary-value problems
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2002
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Siegfried Carl
Seppo Heikkilä
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Generalized quasilinearization and semilinear parabolic problems
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2002
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Siegfried Carl
V. Lakshmikantham
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PDF
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Sign‐changing and multiple solutions for the <i>p</i>‐Laplacian
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2002
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Siegfried Carl
Kanishka Perera
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Existence of Extremal Solutions of Boundary Hemivariational Inequalities
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2001
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Siegfried Carl
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Operator equations in ordered sets and discontinuous implicit parabolic equations
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2001
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Siegfried Carl
Seppo Heikkilä
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Discontinuous reaction-diffusion equations under discontinuous and nonlocal flux conditions
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2000
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Siegfried Carl
Seppo Heikkilä
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Extremality results for first-order discontinuous functional differential equations
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2000
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Siegfried Carl
Seppo Heikkilä
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On discontinuous implicit and explicit abstract impulsive boundary value problems
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2000
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Siegfried Carl
Seppo Heikkilä
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Nonlinear Differential Equations in Ordered Spaces
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2000
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Siegfried Carl
Seppo Heikkilä
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Extremal Solutions for Quasilinear Elliptic Inclusions in All of ℝN with State-Dependent Subdifferentials
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2000
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Siegfried Carl
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Operator and Differential Equations in Ordered Spaces
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1999
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Siegfried Carl
Seppo Heikkilä
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PDF
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On discontinuous implicit differential equations in ordered Banach spaces with discontinuous implicit boundary conditions
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1999
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Siegfried Carl
Seppo Heikkilä
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On Discontinuous First Order Implicit Boundary Value Problems
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1998
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Siegfried Carl
Seppo Heikkilä
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On second order discontinuous implicit boundary value problems with discontinuous implicit boundary conditions
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1998
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Siegfried Carl
Seppo Heikkilä
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On Discontinuous Implicit Evolution Equations
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1998
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Siegfried Carl
Seppo Heikkilä
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Elliptic equations with discontinuous nonlinearities in N
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1998
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Siegfried Carl
Seppo Heikkilä
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Discontinuous implicit elliptic boundary value problems
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1998
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Siegfried Carl
Seppo Heikkilä
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PDF
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A free boundary problem for quasilinear elliptic equations in exterior domains
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1998
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Siegfried Carl
Seppo Heikkilä
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Quasilinear elliptic equations with discontinuous nonlinearities in Rn
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1997
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Siegfried Carl
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Existence of extremal periodic solutions for quasilinear parabolic equations
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1997
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Siegfried Carl
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An envelope theorem for weak solutions of quasilinear elliptic boundary value problems
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1996
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Siegfried Carl
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The weak upper and lower solution method for quasilinear elliptic equations with generalized subdifferentiable perturbations
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1995
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Siegfried Carl
H. Dietrich
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On the existence of extremal solutions for discontinuous elliptic equations under discontinuous flux conditions
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1994
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Siegfried Carl
Seppo Heikkilä
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Boundary value problems with discontinuities and monotone discretization
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1994
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Siegfried Carl
Christian Großmann
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On the existence of extremal weak solutions for a class of quasilinear parabolic problems
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1993
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Siegfried Carl
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On a generalized iteration method with applications to fixed point theorems and elliptic systems involving discontinuities
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1993
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Siegfried Carl
Seppo Heikkilä
M. Kumpulainen
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A combined variational–monotone iterative method for elliptic boundary value problems with discontinuous nonlinearity
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1992
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Siegfried Carl
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On extremal solutions of an elliptic boundary value problem involving discontinuous nonlinearities
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1992
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Siegfried Carl
Seppo Heikkilä
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Monotone enclosure for elliptic and parabolic sytems with nonmonotone nonlinearities
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1990
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Siegfried Carl
Christian Großmann
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An Enclosing Theorem and a Monotone Iterative Scheme for Elliptic Systems Having Nonmonotone Nonlinearities
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1990
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Siegfried Carl
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On a parabolic boundary value problem with discontinuous nonlinearity
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1990
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Siegfried Carl
Seppo Heikkilä
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ITERATIVE SPLINE BOUNDS FOR SYSTEMS OF BOUNDARY VALUE PROBLEMS
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1989
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Siegfried Carl
Christian Großmann
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The monotone iterative technique for a parabolic boundary value problem with discontinuous nonlinearity
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1989
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Siegfried Carl
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A Comparison Result for Nonlinear Elliptic Systems Having Nonmonotone Nonlinearities
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1989
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Siegfried Carl
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A monotone iterative scheme for nonlinear reaction-diffusion systems having nonmonotone reaction terms
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1988
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Siegfried Carl
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A maximum principle for a class of generalized analytic functions
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1988
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Siegfried Carl
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Ein konstruktiver Existenzsatz für Randwertprobleme elliptischer Differentialgleichungen zweiter Ordnung mit unstetiger Nichtlinearität
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1988
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Siegfried Carl
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Lösung semilinearer parabolischer Rand- AnIangswertprobleme durch monotone Iteration im Sobolevraum $W_2^{1,1} (Q_T)$
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1986
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Siegfried Carl
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Zur Effektivität des Verfahrens der monotonen Iteration bei semilinearen parabolischen und elliptischen Randwertproblemen
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1986
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Siegfried Carl
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