Paolo Marcellini

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All published works
Action Title Year Authors
+ The Leray-Lions existence theorem under general growth conditions 2024 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ PDF Chat Unified a-priori estimates for minimizers under $p,q-$growth and exponential growth 2024 Paolo Marcellini
Antonella Nastasi
Cintia Pacchiano Camacho
+ Regularity for Nonuniformly Elliptic Equations with $$p,\!q$$-Growth and Explicit $$x,\!u$$-Dependence 2024 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ PDF Chat The Sobolev class where a weak solution is a local minimizer 2023 Filomena De Filippis
Francesco Leonetti
Paolo Marcellini
Elvira Mascolo
+ Regularity for nonuniformly elliptic equations with $p,q-$growth and explicit $x,u-$dependence 2023 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ The Leray-Lions existence theorem under general growth conditions 2023 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ Local boundedness of weak solutions to elliptic equations with $ p, q- $growth 2022 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ Local Lipschitz continuity for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si7.svg"><mml:mrow><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:math>PDEs with explicit <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e34" altimg="si8.svg"><mml:mrow><mml:mi>u</mml:mi><mml:mo>−</mml:mo></mml:mrow></mml:math>dependence 2022 Paolo Marcellini
+ Implicit Functions 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Curves and Integrals Along Curves 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Linear Differential Equations 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Differential One-Forms 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Multiple Integrals 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ The Lebesgue Integral 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Metric Spaces and Banach Spaces 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Manifolds in $${\mathbb {R}}^{\mathrm {\textit {n}}}$$ and k-Forms 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Functions of Several Variables 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Sequences and Series of Functions 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Ordinary Differential Equations 2022 Nicola Fusco
Paolo Marcellini
Carlo Sbordone
+ Boundary regularity for elliptic systems with p,q-growth 2021 Verena Bögelein
Frank Duzaar
Paolo Marcellini
Christoph Scheven
+ PDF Chat Lipschitz regularity for degenerate elliptic integrals with 𝑝, 𝑞-growth 2021 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
Antonia Passarelli di Napoli
+ PDF Chat Local Lipschitz continuity for energy integrals with slow growth 2021 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
Stefania Perrotta
+ Local Lipschitz continuity for energy integrals with slow growth 2021 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
Stefania Perrotta
+ Lipschitz regularity for degenerate elliptic integrals with p,q-growth 2021 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
Antonia Passarelli di Napoli
+ Local Lipschitz continuity for energy integrals with slow growth 2021 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
Stefania Perrotta
+ Lipschitz regularity for degenerate elliptic integrals with p,q-growth 2021 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
Antonia Passarelli di Napoli
+ Regularity for nonlinear elliptic equations and systems 2020 Paolo Marcellini
+ Growth conditions and regularity for weak solutions to nonlinear elliptic pdes 2020 Paolo Marcellini
+ PDF Chat A-priori gradient bound for elliptic systems under either slow or fast growth conditions 2020 Tommaso Di Marco
Paolo Marcellini
+ Anisotropic and p, q-nonlinear partial differential equations 2020 Paolo Marcellini
+ Integral Convexity and Parabolic Systems 2020 Verena Bögelein
Bernard Dacorogna
Frank Duzaar
Paolo Marcellini
Christoph Scheven
+ Interior gradient bounds for nonlinear elliptic systems 2020 Paolo Marcellini
+ A-priori gradient bound for elliptic systems under either slow or fast growth conditions. 2019 Tommaso Di Marco
Paolo Marcellini
+ A variational approach to parabolic equations under general and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e21" altimg="si9.gif"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:math>-growth conditions 2019 Paolo Marcellini
+ A-priori gradient bound for elliptic systems under either slow or fast growth conditions 2019 Tommaso Di Marco
Paolo Marcellini
+ A variational approach to doubly nonlinear equations 2018 Verena Bögelein
Frank Duzaar
Paolo Marcellini
Christoph Scheven
+ PDF Chat Local Lipschitz continuity of minimizers with mild assumptions on the $x$-dependence 2018 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
+ PDF Chat Nonuniformly elliptic energy integrals with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:math>-growth 2018 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ PDF Chat Regularity for scalar integrals without structure conditions 2018 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
+ Doubly Nonlinear Equations of Porous Medium Type 2018 Verena Bögelein
Frank Duzaar
Paolo Marcellini
Christoph Scheven
+ An Application of the Calculus of Variations to the Study of Optimal Foraging 2017 Stefano Focardi
Paolo Marcellini
+ Partial Differential Equations and Applications 2017 Paolo Marcellini
Giorgio Talenti
Edoardo Vesentini
+ PDF Chat Regularity of minimizers under limit growth conditions 2016 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ PDF Chat Lipschitz continuity for energy integrals with variable exponents 2016 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
+ PDF Chat Parabolic equations and the bounded slope condition 2015 Frank Duzaar
Paolo Marcellini
Stefano Signoriello
Verena Bögelein
+ PDF Chat Lipschitz estimates for systems with ellipticity conditions at infinity 2015 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
+ Nonlocal diffusion equations 2015 Verena Bögelein
Frank Duzaar
Paolo Marcellini
Stefano Signoriello
+ Local Boundedness of Minimizers with Limit Growth Conditions 2015 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ A Time Dependent Variational Approach to Image Restoration 2015 Verena Bögelein
Frank Duzaar
Paolo Marcellini
+ Existence and regularity for elliptic equations under $p,q$-growth 2014 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ Existence of evolutionary variational solutions via the calculus of variations 2014 Verena Bögelein
Frank Duzaar
Paolo Marcellini
+ ON THE LOWER SEMICONTINUITY OF QUASICONVEX INTEGRALS 2014 Matteo Focardi
Paolo Marcellini
+ Space expansion for a solution of an anisotropic p-Laplacian equation by using a parabolic approach 2014 Fatma Gamze DĂŒzgĂŒn
Paolo Marcellini
Vincenzo Vespri
+ Weak lower semicontinuity for polyconvex integrals in the limit case 2013 Matteo Focardi
Nicola Fusco
Chiara Leone
Paolo Marcellini
Elvira Mascolo
Anna Verde
+ An alternative approach to the Hölder continuity of solutions to some elliptic equations 2013 Fatma Gamze DĂŒzgĂŒn
Paolo Marcellini
Vincenzo Vesprı
+ Parabolic Systems with p, q-Growth: A Variational Approach 2013 Verena Bögelein
Frank Duzaar
Paolo Marcellini
+ Parabolic equations with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:math>-growth 2013 Verena Bögelein
Frank Duzaar
Paolo Marcellini
+ Parabolic Systems with p, q-Growth: 2013 Verena Bögelein
Frank Duzaar
Paolo Marcellini
+ Local boundedness of solutions to some anisotropic elliptic systems 2013 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ PDF Chat The two well problem for piecewise affine maps 2012 Bernard Dacorogna
Paolo Marcellini
Emanuele Paolini
+ PDF Chat The degenerate two well problem for piecewise affine maps 2012 Bernard Dacorogna
Paolo Marcellini
Emanuele Paolini
+ Local boundedness of solutions to quasilinear elliptic systems 2011 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ PDF Chat Functions with orthogonal Hessian 2010 Bernard Dacorogna
Paolo Marcellini
Emanuele Paolini
+ Regularity under sharp anisotropic general growth conditions 2008 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
+ On the n-dimensional Dirichlet problem for isometric maps 2008 Bernard Dacorogna
Paolo Marcellini
Emanuele Paolini
+ Lipschitz-continuous local isometric immersions: rigid maps and origami 2008 Bernard Dacorogna
Paolo Marcellini
Emanuele Paolini
+ PDF Chat Weak lower semicontinuity for non coercive polyconvex integrals 2008 MicĂČl Amar
Virginia De Cicco
Paolo Marcellini
Elvira Mascolo
+ An explicit solution to a system of implicit differential equations Une solution explicite d'un systÚme implicite d'équations différentielles 2008 Bernard Dacorogna
Paolo Marcellini
Emanuele Paolini
+ Calculus of Variations and Nonlinear Partial Differential Equations: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27 - July 2, 2005 2007 Luigi Ambrosio
Luis Caffarelli
Michael G. Crandall
Lawrence C. Evans
Nicola Fusco
Bernard Dacorogna
Paolo Marcellini
+ An explicit solution to a system of implicit differential equations 2006 Bernard Dacorogna
Paolo Marcellini
Emanuele Paolini
+ Nonlinear elliptic systems with general growth 2005 Paolo Marcellini
Gloria Papi
+ Topological degree, Jacobian determinants and relaxation 2005 Irene Fonseca
Paolo Marcellini
Nicola Fusco
+ PDF Chat Viscosity solutions, almost everywhere solutions and explicit formulas 2004 Bernard Dacorogna
Paolo Marcellini
+ On the total variation of the Jacobian 2003 Irene Fonseca
Nicola Fusco
Paolo Marcellini
+ PDF Chat On some sharp conditions for lower semicontinuity in $L^1$ 2003 Michele Gori
Francesco Maggi
Paolo Marcellini
+ PDF Chat An existence result for a nonconvex variational problem via regularity 2002 Irene Fonseca
Nicola Fusco
Paolo Marcellini
+ An Extension of the Serrin's Lower Semicontinuity Theorem 2002 Michele Gori
Paolo Marcellini
+ Équations de type implicite avec contraintes 2000 Bernard Dacorogna
Paolo Marcellini
Chiara Tanteri
+ PDF Chat On a Volume-Constrained Variational Problem 1999 Luigi Ambrosio
Irene Fonseca
Paolo Marcellini
Luc Tartar
+ The Complex Eikonal Equation 1999 Bernard Dacorogna
Paolo Marcellini
+ Second Order Equations 1999 Bernard Dacorogna
Paolo Marcellini
+ First Order Equations 1999 Bernard Dacorogna
Paolo Marcellini
+ Attainment of minima and implicit partial differential equations 1999 Bernard Dacorogna
Paolo Marcellini
+ Appendix: Piecewise Approximations 1999 Bernard Dacorogna
Paolo Marcellini
+ The Case of Potential Wells 1999 Bernard Dacorogna
Paolo Marcellini
+ Cauchy–Dirichlet Problem for First Order Nonlinear Systems 1998 Bernard Dacorogna
Paolo Marcellini
+ EXISTENCE OF MINIMIZERS FOR SOME NON CONVEX ONE-DIMENSIONAL INTEGRALS * 1998 Nicola Fusco
Paolo Marcellini
AntĂłnio Ornelas
+ Elliptic versus parabolic regularization for the equation of prescribed mean curvature* 1997 Paolo Marcellini
Keith Miller
+ Relaxation of multiple integrals in subcritical Sobolev spaces 1997 Irene Fonseca
Paolo Marcellini
+ Implicit second order partial differential equations 1997 Bernard Dacorogna
Paolo Marcellini
+ PDF Chat General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases 1997 Bernard Dacorogna
Paolo Marcellini
+ PDF Chat Dirichlet problem for nonlinear first order partial differential equations 1997 Bernard Dacorogna
Paolo Marcellini
+ Some problems of existence, uniqueness and regularity in the calculus of variations 1996 Paolo Marcellini
+ Regularity for some scalar variational problems under general growth conditions 1996 Paolo Marcellini
+ PDF Chat Anisotropic equations in $L^1$ 1996 Lucio Boccardo
Thierry Gallouët
Paolo Marcellini
+ Everywhere regularity for a class of elliptic systems without growth conditions 1996 Paolo Marcellini
+ General Growth Conditions and Regularity 1996 Paolo Marcellini
+ Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problÚme de Cauchy-Dirichlet pour les systÚmes d' équationsnon linéaires du premier ordre.) 1996 Bernard Dacorogna
Paolo Marcellini
+ Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (ThéorÚmes d'existence dans les cas scalaireet vectoriel pour les équations de Hamilton-Jacobi.) 1996 Bernard Dacorogna
Paolo Marcellini
+ Existence of minimizers for non-quasiconvex integrals 1995 Bernard Dacorogna
Paolo Marcellini
+ Regularity for Elliptic Equations with General Growth Conditions 1993 Paolo Marcellini
+ Regularity and existence of solutions of elliptic equations with p,q-growth conditions 1991 Paolo Marcellini
+ PDF Chat Methods of Nonconvex Analysis 1990 Ivar Ekeland
Paolo Marcellini
Antonio Marino
Mario Tosques
CzesƂaw Olech
Giulio Pianigiani
Tyrrell Rockafeller
Michel Valadier
+ Semicontinuité pour des intégrandes polyconvexes sans continuitédes déterminants. (Semicontinuity for polyconvex integrands withoutcontinuity of determinants). 1990 Bernard Dacorogna
Paolo Marcellini
+ PDF Chat Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions 1989 Paolo Marcellini
+ PDF Chat On the definition and the lower semicontinuity of certain quasiconvex integrals 1986 Paolo Marcellini
+ Asymptotic growth for evolutionary surfaces of prescribed mean curvature 1986 Paolo Marcellini
Keith Miller
+ Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals 1985 Paolo Marcellini
+ Asymptotic growth for the parabolic equation of prescribed mean curvature 1984 Paolo Marcellini
Keith Miller
+ Quasiconvex quadratic forms in two dimensions 1984 Paolo Marcellini
+ Semicontinuity problems in the calculus of variations 1980 Paolo Marcellini
Carlo Sbordone
+ Alcuni problemi inversi nella letteratura matematica sovietica 1979 Orazio Arena
S. Campi
G. Chiti
Paolo Marcellini
Giorgio Talenti
Alexandra Fernandes Azevedo Venturi
+ Sulla convergenza delle soluzioni di disequazioni variazionali 1976 Lucio Boccardo
Paolo Marcellini
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions 1989 Paolo Marcellini
29
+ Regularity and existence of solutions of elliptic equations with p,q-growth conditions 1991 Paolo Marcellini
27
+ Direct Methods in the Calculus of Variations 2003 Enrico Giusti
20
+ Multiple Integrals in the Calculus of Variations 1966 Charles B. Morrey
18
+ Regularity for Elliptic Equations with General Growth Conditions 1993 Paolo Marcellini
18
+ Regularity under sharp anisotropic general growth conditions 2008 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
18
+ Local boundedness of solutions to quasilinear elliptic systems 2011 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
18
+ Everywhere regularity for a class of elliptic systems without growth conditions 1996 Paolo Marcellini
17
+ Regularity for Double Phase Variational Problems 2014 Maria Colombo
Giuseppe Mingione
17
+ Nonlinear elliptic systems with general growth 2005 Paolo Marcellini
Gloria Papi
17
+ PDF Chat Regularity for scalar integrals without structure conditions 2018 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
16
+ Bounded Minimisers of Double Phase Variational Integrals 2015 Maria Colombo
Giuseppe Mingione
15
+ Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals 1985 Paolo Marcellini
15
+ PDF Chat Regularity of minima: An invitation to the dark side of the calculus of variations 2006 Giuseppe Mingione
14
+ PDF Chat Lipschitz estimates for systems with ellipticity conditions at infinity 2015 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
13
+ PDF Chat Nonuniformly elliptic energy integrals with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:math>-growth 2018 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
13
+ Existence and regularity for elliptic equations under $p,q$-growth 2014 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
12
+ PDF Chat Regularity of minimizers under limit growth conditions 2016 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
11
+ PDF Chat General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases 1997 Bernard Dacorogna
Paolo Marcellini
11
+ Parabolic equations with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>p</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi></mml:math>-growth 2013 Verena Bögelein
Frank Duzaar
Paolo Marcellini
11
+ Regularity for some scalar variational problems under general growth conditions 1996 Paolo Marcellini
11
+ Parabolic Systems with p, q-Growth: A Variational Approach 2013 Verena Bögelein
Frank Duzaar
Paolo Marcellini
11
+ PDF Chat Regularity for general functionals with double phase 2018 Paolo Baroni
Maria Colombo
Giuseppe Mingione
11
+ Growth conditions and regularity for weak solutions to nonlinear elliptic pdes 2020 Paolo Marcellini
10
+ Sharp regularity for functionals with (p,q) growth 2004 Luca Esposito
Francesco Leonetti
Giuseppe Mingione
10
+ PDF Chat A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces 2018 Iwona Chlebicka
10
+ Pseudosolutions of the time-dependent minimal surface problem 1978 A. Lichnewsky
Roger TĂ©mam
10
+ PDF Chat Lipschitz continuity for energy integrals with variable exponents 2016 Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
10
+ PDF Chat A-priori gradient bound for elliptic systems under either slow or fast growth conditions 2020 Tommaso Di Marco
Paolo Marcellini
10
+ PDF Chat Regularity for a class of non-linear elliptic systems 1977 Karen Uhlenbeck
9
+ PDF Chat A singular minimizer of a smooth strongly convex functional in three dimensions 2000 VladimĂ­r Ć verĂĄk
Xiaodong Yan
9
+ Linear and quasilinear elliptic equations 1968 O. A. Ladyzhenskaiïž aïžĄ
N. N. Uraltseva
9
+ Some remarks on the regularity of minima of anisotropic integrals 1993 Nicola Fusco
Carlos bordone
9
+ Existence of evolutionary variational solutions via the calculus of variations 2014 Verena Bögelein
Frank Duzaar
Paolo Marcellini
9
+ On a problem of potential wells 1995 Arrigo Cellina
Stefania Perrotta
9
+ Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105) 1984 Mariano Giaquinta
9
+ C1 + α local regularity of weak solutions of degenerate elliptic equations 1983 Emmanuele DiBenedetto
8
+ Harnack inequalities for double phase functionals 2014 Paolo Baroni
Maria Colombo
Giuseppe Mingione
8
+ PDF Chat Non-autonomous functionals, borderline cases and related function classes 2016 Paolo Baroni
Maria Colombo
Giuseppe Mingione
8
+ PDF Chat On the definition and the lower semicontinuity of certain quasiconvex integrals 1986 Paolo Marcellini
8
+ Quasiconvex quadratic forms in two dimensions 1984 Paolo Marcellini
8
+ Double phase anisotropic variational problems and combined effects of reaction and absorption terms 2018 Qihu Zhang
Vicenƣiu D. Rădulescu
8
+ Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations 2010 Andrea Cianchi
Vladimir Maz’ya
8
+ PDF Chat Global Boundedness of the Gradient for a Class of Nonlinear Elliptic Systems 2014 Andrea Cianchi
Vladimir Maz’ya
8
+ PDF Chat Lipschitz Bounds and Nonuniform Ellipticity 2019 Lisa Beck
Giuseppe Mingione
8
+ Higher Integrability for Minimizers of Integral Functionals With (p, q) Growth 1999 Luca Esposito
Francesco Leonetti
Giuseppe Mingione
7
+ Local boundedness of minimizers in a limit case 1990 Nicola Fusco
Carlo Sbordone
7
+ PDF Chat On the Regularity of Minima of Non-autonomous Functionals 2019 Cristiana De Filippis
Giuseppe Mingione
7
+ Local Boundedness of Minimizers with Limit Growth Conditions 2015 Giovanni Cupini
Paolo Marcellini
Elvira Mascolo
7
+ The natural generalizationj of the natural conditions of ladyzhenskaya and uralÄŸtseva for elliptic equations 1991 Gary M. Lieberman
6