Wolfgang Reichel

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All published works

Action	Title	Year	Authors
+ PDF Chat	Existence of traveling breather solutions to cubic nonlinear Maxwell equations in waveguide geometries	2024	Sebastian Ohrem Wolfgang Reichel
+ PDF Chat	Pinning in the Extended Lugiato–Lefever Equation	2024	Lukas Bengel Dmitry E. Pelinovsky Wolfgang Reichel
+ PDF Chat	Wellposedness for a (1+1)-dimensional wave equation with quasilinear boundary condition	2023	Sebastian Ohrem Wolfgang Reichel Roland Schnaubelt
+ PDF Chat	Bandwidth and conversion-efficiency analysis of Kerr soliton combs in dual-pumped resonators with anomalous dispersion	2023	Elias Gasmi Huanfa Peng C. Koos Wolfgang Reichel
+ PDF Chat	Global continua of solutions to the Lugiato–Lefever model for frequency combs obtained by two-mode pumping	2023	Elias Gasmi Tobias Jahnke Michael Kirn Wolfgang Reichel
+ PDF Chat	Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph	2023	Daniela Maier Wolfgang Reichel Guido Schneider
+ PDF Chat	Breathers and rogue waves for semilinear curl-curl wave equations	2023	Michael Plum Wolfgang Reichel
+	Pinning in the extended Lugiato-Lefever equation	2023	Lukas Bengel Dmitry E. Pelinovsky Wolfgang Reichel
+ PDF Chat	Travelling waves for Maxwell’s equations in nonlinear and nonsymmetric media	2022	Jarosław Mederski Wolfgang Reichel
+	Traveling waves for a quasilinear wave equation	2022	Gabriele Bruell Piotr Idzik Wolfgang Reichel
+	Traveling waves for a quasilinear wave equation	2022	Gabriele Bruell Piotr Idzik Wolfgang Reichel
+	Wellposedness for a (1+1)-dimensional wave equation with quasilinear boundary condition	2022	Sebastian Ohrem Wolfgang Reichel Roland Schnaubelt
+	Breather solutions for a semilinear Klein-Gordon equation on a periodic metric graph	2022	Daniela Maier Wolfgang Reichel Guido Schneider
+	Breathers and rogue waves for semilinear curl-curl wave equations	2022	Michael Plum Wolfgang Reichel
+	Bandwidth and Conversion-Efficiency Analysis of Kerr Soliton Combs in Dual-Pumped Resonators with Anomalous Dispersion	2022	Elias Gasmi Huanfa Peng C. Koos Wolfgang Reichel
+	Global continua of solutions to the Lugiato-Lefever model for frequency combs obtained by two-mode pumping	2022	Elias Gasmi Tobias Jahnke Michael Kirn Wolfgang Reichel
+ PDF Chat	Breather solutions for a quasi‐linear ‐dimensional wave equation	2021	Simon Kohler Wolfgang Reichel
+ PDF Chat	Analysis of Kerr comb generation in silicon microresonators under the influence of two-photon absorption and fast free-carrier dynamics	2021	P. Trocha Janina Gärtner Pablo Marin-Palomo W. Freude Wolfgang Reichel C. Koos
+	Breather Solutions for a Quasilinear $(1+1)$-dimensional Wave Equation.	2021	Simon Kohler Wolfgang Reichel
+ PDF Chat	The Lugiato–Lefever Equation with Nonlinear Damping Caused by Two Photon Absorption	2021	Janina Gärtner Rainer Mandel Wolfgang Reichel
+	Breather solutions for a quasi‐linear (1+1)‐dimensional wave equation	2021	Simon Kohler Wolfgang Reichel
+	Travelling waves for Maxwell's equations in nonlinear and nonsymmetric media	2021	Jarosław Mederski Wolfgang Reichel
+	Breather Solutions for a Quasilinear $(1+1)$-dimensional Wave Equation	2021	Simon Kohler Wolfgang Reichel
+	Equilibrium measures and equilibrium potentials in the Born-Infeld model	2020	Denis Bonheure Pietro d’Avenia Alessio Pomponio Wolfgang Reichel
+ PDF Chat	Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials	2019	Andreas Hirsch Wolfgang Reichel
+	The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption.	2018	Janina Gärtner Rainer Mandel Wolfgang Reichel
+	Equilibrium measures and equilibrium potentials in the Born-Infeld model	2018	Denis Bonheure Pietro d’Avenia Alessio Pomponio Wolfgang Reichel
+	Geometry of PDEs and Related Problems: Cetraro, Italy 2017	2018	Xavier Cabré Antoine Henrot Daniel Peralta‐Salas Wolfgang Reichel Henrik Shahgholian
+	Symmetry Properties for Solutions of Higher-Order Elliptic Boundary Value Problems	2018	Wolfgang Reichel
+	Geometry of PDEs and Related Problems	2018	Xavier Cabré Antoine Henrot Daniel Peralta‐Salas Wolfgang Reichel Henrik Shahgholian
+	The Lugiato-Lefever equation with nonlinear damping caused by two photon absorption	2018	Janina Gärtner Rainer Mandel Wolfgang Reichel
+	Equilibrium measures and equilibrium potentials in the Born-Infeld model	2018	Denis Bonheure Pietro d’Avenia Alessio Pomponio Wolfgang Reichel
+ PDF Chat	Existence of Cylindrically Symmetric Ground States to a Nonlinear Curl-Curl Equation with Non-Constant Coefficients	2017	Andreas Hirsch Wolfgang Reichel
+	Real-valued, time-periodicweak solutions for a semilinear wave equation with periodic δ-potential	2017	Andreas Hirsch Wolfgang Reichel
+	Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials	2017	Andreas Hirsch Wolfgang Reichel
+ PDF Chat	A Priori Bounds and Global Bifurcation Results for Frequency Combs Modeled by the Lugiato--Lefever Equation	2017	Rainer Mandel Wolfgang Reichel
+	Real-valued, time-periodic localized weak solutions for a semilinear wave equation with periodic potentials	2017	Andreas Hirsch Wolfgang Reichel
+	A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients	2016	Michael Plum Wolfgang Reichel
+ PDF Chat	Ground states of a nonlinear curl-curl problem in cylindrically symmetric media	2016	Thomas Bartsch Tomáš Dohnal Michael Plum Wolfgang Reichel
+	Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients	2016	Andreas Hirsch Wolfgang Reichel
+ PDF Chat	A Breather Construction for a Semilinear Curl-Curl Wave Equation with Radially Symmetric Coefficients	2016	Michael Plum Wolfgang Reichel
+	A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation	2016	Rainer Mandel Wolfgang Reichel
+	Existence of cylindrically symmetric ground states to a nonlinear curl-curl equation with non-constant coefficients	2016	Andreas Hirsch Wolfgang Reichel
+	A breather construction for a semilinear curl-curl wave equation with radially symmetric coefficients	2016	Michael Plum Wolfgang Reichel
+	A priori bounds and global bifurcation results for frequency combs modeled by the Lugiato-Lefever equation	2016	Rainer Mandel Wolfgang Reichel
+	Ground States of a Nonlinear Curl-Curl Problem in Cylindrically Symmetric Media	2014	Thomas Bartsch Tomáš Dohnal Michael Plum Wolfgang Reichel
+	Mesh-independent a priori bounds for nonlinear elliptic finite difference boundary value problems	2014	P. J. McKenna Wolfgang Reichel A. Verbitsky
+	Mesh-independent a priori bounds for nonlinear elliptic finite difference boundary value problems	2014	P. J. McKenna Wolfgang Reichel A. Verbitsky
+	Ground States of a Nonlinear Curl-Curl Problem in Cylindrically Symmetric Media	2014	Thomas Bartsch Tomáš Dohnal Michael Plum Wolfgang Reichel
+ PDF Chat	Distributional Solutions of the Stationary Nonlinear Schrödinger Equation: Singularities, Regularity and Exponential Decay	2013	Rainer Mandel Wolfgang Reichel
+	Interfaces Supporting Surface Gap Soliton Ground States in the 1D Nonlinear Schroedinger Equation	2012	Tomáš Dohnal Kaori Nagatou Michael Plum Wolfgang Reichel
+	Interfaces Supporting Surface Gap Soliton Ground States in the 1D Nonlinear Schroedinger Equation	2012	Tomáš Dohnal Kaori Nagatou Michael Plum Wolfgang Reichel
+	Distributional solutions of the stationary nonlinear Schr\"odinger equation: singularities, regularity and exponential decay	2011	Rainer Mandel Wolfgang Reichel
+ PDF Chat	Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation	2011	Tomáš Dohnal Michael Plum Wolfgang Reichel
+	In Memoriam Wolfgang Walter (1927–2010)	2011	Wolfgang Reichel
+	Symmetry of solutions for quasimonotone second-order elliptic systems in ordered Banach spaces	2011	Gerd Herzog Wolfgang Reichel
+	Distributional solutions of the stationary nonlinear Schrödinger equation: singularities, regularity and exponential decay	2011	Rainer Mandel Wolfgang Reichel
+ PDF Chat	Large Solutions to Semilinear Elliptic Equations with Hardy Potential and Exponential Nonlinearity	2009	Catherine Bandle Vitaly Moroz Wolfgang Reichel
+	Existence of solutions to nonlinear, subcritical higher order elliptic Dirichlet problems	2009	Wolfgang Reichel Tobias Weth
+ PDF Chat	Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation	2009	Tomáš Dohnal Michael Plum Wolfgang Reichel
+	Existence of solutions to nonlinear, subcritical higher-order elliptic Dirichlet problems	2009	Wolfgang Reichel Tobias Weth
+	Localized Modes of the Linear Periodic Schr	2008	Tomáš Dohnal Michael Plum Wolfgang Reichel
+	Very weak solutions with boundary singularities for semilinear elliptic Dirichlet problems in domains with conical corners	2008	Jiří Horák P. J. McKenna Wolfgang Reichel
+ PDF Chat	A priori bounds and a Liouville theorem on a half-space for higher-order elliptic Dirichlet problems	2008	Wolfgang Reichel Tobias Weth
+ PDF Chat	Positivity and anti-maximum principles for elliptic operators with mixed boundary conditions	2008	Catherine Bandle Joachim von Below Wolfgang Reichel
+ PDF Chat	Characterization of balls by Riesz-potentials	2008	Wolfgang Reichel
+ PDF Chat	‘Boundary blowup’ type sub-solutions to semilinear elliptic equations with Hardy potential	2008	Catherine Bandle Vitaly Moroz Wolfgang Reichel
+	Very weak solutions to elliptic equations with nonlinear Neumann boundary conditions	2008	Pavol Quíttner Wolfgang Reichel
+	Localized Modes of the Linear Periodic Schrödinger Operator with a Nonlocal Perturbation	2008	Tomáš Dohnal Michael Plum Wolfgang Reichel
+ PDF Chat	The Paneitz equation in hyperbolic space	2007	Mohameden Ould Ahmedou Hans-Christoph Grunau Wolfgang Reichel
+	Gidas–Ni–Nirenberg results for finite difference equations: Estimates of approximate symmetry	2007	Patrick McKenna Wolfgang Reichel
+ PDF Chat	A priori bounds for semilinear equations and a new class of critical exponents for Lipschitz domains	2007	Patrick McKenna Wolfgang Reichel
+	A priori bounds and a Liouville theorem on a half-space for higher order elliptic Dirichlet problems	2007	Wolfgang Reichel Tobias Weth
+ PDF Chat	Parabolic problems with dynamical boundary conditions: eigenvalue expansions and blow up	2006	Catherine Bandle Joachim von Below Wolfgang Reichel
+	A LINEAR PARABOLIC PROBLEM WITH NON-DISSIPATIVE DYNAMICAL BOUNDARY CONDITIONS	2006	Chatherine Bandle Wolfgang Reichel
+	Global solution branches for p-Laplacian boundary value problems	2005	Jacqueline Fleckinger Wolfgang Reichel
+ PDF Chat	Eigenvalues of the Radially Symmetric <i>p</i> ‐Laplacian in R <sup> <i>n</i> </sup>	2004	B. M. Brown Wolfgang Reichel
+	5. Scalar problems in Euclidean space	2004	Wolfgang Reichel
+	4. Variational problems on Riemannian manifolds	2004	Wolfgang Reichel
+	6. Vector problems in Euclidean space	2004	Wolfgang Reichel
+	2. Uniqueness of critical points (I)	2004	Wolfgang Reichel
+	Solutions of Quasilinear Second-Order Elliptic Boundary Value Problems via Degree Theory	2004	Catherine Bandle Wolfgang Reichel
+	Uniqueness Theorems for Variational Problems by the Method of Transformation Groups	2004	Wolfgang Reichel
+	Analytical and numerical results for the Fučı́k spectrum of the Laplacian	2003	Jiří Horák Wolfgang Reichel
+	Uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains. I	2003	Wolfgang Reichel
+	Uniqueness results for semilinear polyharmonic boundary value problems on conformally contractible domains. II	2003	Wolfgang Reichel
+	Sharp parameter ranges in the uniform anti-maximum principle for second-order ordinary differential operators	2003	Wolfgang Reichel
+	Positive solutions of linear elliptic equations with critical growth in the Neumann boundary condition	2003	Miroslav Chleb�l Марек Фила Wolfgang Reichel
+	Radial solutions of singular nonlinear biharmonic equations and applications to conformal geometry.	2003	P. J. McKenna Wolfgang Reichel
+	Supercritical variational problems with unique critical points	2002	Wolfgang Reichel
+	Existence and starshapedness for the lane-emden equation	2001	Antonio Greco Wolfgang Reichel
+ PDF Chat	Sign-changing solutions to singular second-order boundary value problems	2001	P. J. McKenna Wolfgang Reichel
+ PDF Chat	Existence and uniqueness theorems for singular anisotropic quasilinear elliptic boundary value problems	2000	Scott Hill Kristen Moore Wolfgang Reichel
+	Non-Existence Results for Semilinear Cooperative Elliptic Systems via Moving Spheres	2000	Wolfgang Reichel Henghui Zou
+	Sturm–Liouville Type Problems for the p-Laplacian under Asymptotic Non-resonance Conditions	1999	Wolfgang Reichel Wolfgang Walter
+ PDF Chat	Approximate radial symmetry for overdetermined boundary value problems	1999	Amandine Aftalion Jérôme Busca Wolfgang Reichel
+	Existence of Two Boundary Blow-Up Solutions for Semilinear Elliptic Equations	1997	Amandine Aftalion Wolfgang Reichel
+	Radial Symmetry for Elliptic Boundary-Value Problems on Exterior Domains	1997	Wolfgang Reichel
+	Symmetry and multiplicity for nonlinear elliptic differential equations with boundary blow-up	1997	P. J. McKenna Wolfgang Reichel Wolfgang Walter
+	Uniqueness for degenerate elliptic equations via Serrin’s sweeping principle	1997	Wolfgang Reichel
+	Radial solutions of equations and inequalities involving the -Laplacian	1997	Wolfgang Reichel Wolfgang Walter
+ PDF Chat	Radial Symmetry for an Electrostatic, a Capillarity and some Fully Nonlinear Overdetermined Problems on Exterior Domains	1996	Wolfgang Reichel

Common Coauthors

Coauthor	Papers Together
Michael Plum	14
Rainer Mandel	9
Tomáš Dohnal	9
Andreas Hirsch	7
P. J. McKenna	6
Catherine Bandle	5
Janina Gärtner	4
Elias Gasmi	4
Simon Kohler	4
Tobias Weth	4
Alessio Pomponio	3
Thomas Bartsch	3
Denis Bonheure	3
C. Koos	3
Pietro d’Avenia	3
Sebastian Ohrem	3
Wolfgang Walter	3
Jarosław Mederski	2
Joachim von Below	2
Patrick McKenna	2
Xavier Cabré	2
A. Verbitsky	2
Lukas Bengel	2
Antoine Henrot	2
Dmitry E. Pelinovsky	2
Guido Schneider	2
Roland Schnaubelt	2
Amandine Aftalion	2
Vitaly Moroz	2
Daniela Maier	2
Michael Kirn	2
Daniel Peralta‐Salas	2
Kaori Nagatou	2
Piotr Idzik	2
Tobias Jahnke	2
Gabriele Bruell	2
Jiří Horák	2
Huanfa Peng	2
Pablo Marin-Palomo	1
B. M. Brown	1
Henrik Shahgholian	1
Kristen Moore	1
P. Trocha	1
Jacqueline Fleckinger	1
Hans-Christoph Grunau	1
Марек Фила	1
Gerd Herzog	1
Mohameden Ould Ahmedou	1
W. Freude	1
Henghui Zou	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	19
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	16
+	A priori bounds for positive solutions of nonlinear elliptic equations	1981	Basilis Gidas Joel Spruck	12
+ PDF Chat	Periodic Nonlinear Schrödinger Equation with Application to Photonic Crystals	2005	А. А. Панков	11
+	A characteristic property of spheres	1962	A. D. Alexandrov	9
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	9
+ PDF Chat	None	1986	Patrizia Pucci James Serrin	8
+ PDF Chat	A priori bounds for semilinear equations and a new class of critical exponents for Lipschitz domains	2007	Patrick McKenna Wolfgang Reichel	8
+	On a class of superlinear elliptic problems	1977	Haı̈m Brezis R. E. Turner	8
+	Bifurcation from simple eigenvalues	1971	Michael G. Crandall Paul H. Rabinowitz	7
+	Non-Existence Results for Semilinear Cooperative Elliptic Systems via Moving Spheres	2000	Wolfgang Reichel Henghui Zou	7
+	A priori Estimates and Existence for Elliptic Systems via Bootstrap in Weighted Lebesgue Spaces	2004	Pavol Quíttner Ph. Souplet	7
+ PDF Chat	Stability analysis of the spatiotemporal Lugiato-Lefever model for Kerr optical frequency combs in the anomalous and normal dispersion regimes	2014	Cyril Godey Irina Balakireva Aurélien Coillet Yanne K. Chembo	7
+	A Priori Estimates and Existence of Positive Solutions of Semilinear Elliptic Equations	1982	Djairo G. de Figueiredo Pierre‐Louis Lions Roger D. Nussbaum	7
+	Bifurcation analysis to the Lugiato–Lefever equation in one space dimension	2010	Tomoyuki Miyaji Isamu Ohnishi Yoshio Tsutsumi	7
+	Nonlinear Functional Analysis	1985	Klaus Deimling	7
+ PDF Chat	Ground States of Time-Harmonic Semilinear Maxwell Equations in $${\mathbb{R}^3}$$ R 3 with Vanishing Permittivity	2015	Jarosław Mederski	7
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	6
+	Guidance properties of nonlinear planar waveguides	1993	C. A. Stuart	6
+ PDF Chat	Microresonator-based solitons for massively parallel coherent optical communications	2017	Pablo Marin-Palomo J. N. Kemal Maxim Karpov Arne Kordts Joerg Pfeifle Martin H. P. Pfeiffer P. Trocha S. Wolf Victor Brasch Miles Anderson	6
+	Ultrafast optical ranging using microresonator soliton frequency combs	2018	P. Trocha Maxim Karpov D. Ganin Martin H. P. Pfeiffer Arne Kordts S. Wolf J. Krockenberger Pablo Marin-Palomo C. Weimann Sebastian Randel	6
+ PDF Chat	Existence of solitary waves in higher dimensions	1977	Walter A. Strauss	5
+ PDF Chat	A characteristic property of the sphere	1977	Themis Koufogiorgos Thomas Hasanis	5
+ PDF Chat	Existence of static solutions of the semilinear Maxwell equations	2006	Antonio Azzollini Vieri Benci Teresa D’Aprile Donato Fortunato	5
+ PDF Chat	Characteristic values associated with a class of nonlinear second-order differential equations	1961	Zeev Nehari	5
+	‘Large’ solutions of semilinear elliptic equations: Existence, uniqueness and asymptotic behaviour	1992	Catherine Bandle Moshe Marcus	5
+	Method for Solving the Sine-Gordon Equation	1973	Mark J. Ablowitz D. J. Kaup Alan C. Newell Harvey Segur	5
+	On solutions of δ<i>u</i>=<i>f</i>(<i>u</i>)	1957	Joachim Keller	5
+	Some global results for nonlinear eigenvalue problems	1971	Paul H. Rabinowitz	5
+	Partial Differential Equations Invariant under Conformal or Projective Transformations††The results in this paper were obtained during the summer of 1967, several months before Charles Loewner died.	1974	Charles Loewner Louis Nirenberg	5
+ PDF Chat	A bifurcation analysis for the Lugiato-Lefever equation	2017	Cyril Godey	5
+ PDF Chat	A Priori Bounds and Global Bifurcation Results for Frequency Combs Modeled by the Lugiato--Lefever Equation	2017	Rainer Mandel Wolfgang Reichel	5
+ PDF Chat	Temporal solitons in optical microresonators	2013	Tobias Herr Victor Brasch J. D. Jost C. Y. Wang Nikita M. Kondratiev M. L. Gorodetsky Tobias J. Kippenberg	5
+	Variational methods: Applications to nonlinear partial differential equations and Hamiltonian systems	1990	Michaël Struwe	5
+ PDF Chat	Nonpersistence of breather families for the perturbed sine Gordon equation	1993	Jochen Denzler	5
+	On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball	1985	Patrick Oswald	5
+	On the method of moving planes and the sliding method	1991	Henri Berestycki Louis Nirenberg	5
+	Boundary regularity for solutions of degenerate elliptic equations	1988	Gary M. Lieberman	5
+ PDF Chat	Dark solitons in the Lugiato-Lefever equation with normal dispersion	2016	Pedro Parra‐Rivas E. Knobloch Damià Gomila Lendert Gelens	5
+ PDF Chat	On uniqueness of solutions of $n$-th order differential equations in conformal geometry	1997	Sun‐Yung A. Chang Paul Yang	5
+ PDF Chat	Bifurcation structure of localized states in the Lugiato-Lefever equation with anomalous dispersion	2018	Pedro Parra‐Rivas Damià Gomila Lendert Gelens Edgar Knobloch	5
+ PDF Chat	Ground states of a nonlinear curl-curl problem in cylindrically symmetric media	2016	Thomas Bartsch Tomáš Dohnal Michael Plum Wolfgang Reichel	5
+ PDF Chat	Magnetostatic solutions for a semilinear perturbation of the Maxwell equations	2011	Teresa DʼAprile Gaetano Siciliano	5
+ PDF Chat	Rearrangements and Convexity of Level Sets in PDE	1985	Bernhard Kawohl	4
+	Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems	2008	Elvise Berchio Filippo Gazzola Tobias Weth	4
+ PDF Chat	Remark on some conformally invariant integral equations: the method of moving spheres	2004	Yanyan Li	4
+	Positive solutions of semilinear elliptic boundary value problems	1995	Klaus Schmitt	4
+ PDF Chat	Inverse spectral theory for uniformly open gaps in a weighted Sturm–Liouville problem	2015	Martina Chirilus‐Bruckner C. Eugene Wayne	4
+	Ground states of time-harmonic semilinear Maxwell equations in R^3 with vanishing permittivity	2014	Jarosław Mederski	4
+	Global and local behavior of positive solutions of nonlinear elliptic equations	1981	Basilis Gidas Joel Spruck	4