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Book DetailsContemporary MathematicsVolume: 540; 2011; 259 ppMSC: Primary 35; 46; 49; 58
This volume contains papers on semi-linear and quasi-linear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of Jean-Pierre Gossez's 65th birthday, held September 2–4, 2009 at the Université Libre de Bruxelles, Belgium.
The workshop reflected Gossez's contributions in nonlinear elliptic PDEs and provided an opening to new directions in this very active research area. Presentations covered recent progress in Gossez's favorite topics, namely various problems related to the \(p\)-Laplacian operator, the antimaximum principle, the Fučík Spectrum, and other related subjects. This volume will be of principle interest to researchers in nonlinear analysis, especially in partial differential equations of elliptic type.
ReadershipGraduate students and research mathematicians interested in nonlinear partial differential equations.
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Table of Contents
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Articles
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Jean Mawhin — Partial differential equations also have principles: Maximum and antimaximum
-
Bernhard Ruf — On the Fučík spectrum for equations with symmetries
-
Bernd Kawohl — Variations on the $p$-Laplacian
-
Vincent Bouchez and Jean Van Schaftingen — Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation
-
Pierre Bousquet and Petru Mironescu — An elementary proof of an inequality of Maz’ya involving $L^1$ vector fields
-
David G. Costa and Chengyue Li — Homoclinic type solutions for a class of differential equations with periodic coefficients
-
Jacques Giacomoni, Jesús Hernández and Abdelkrim Moussaoui — Quasilinear and singular systems: The cooperative case
-
Pavel Drábek, Raúl F. Manásevich and Peter Takáč — Manifolds of critical points in a quasilinear model for phase transitions
-
Liamidi Leadi and Humberto Ramos Quoirin — Weighted asymmetric problems for an indefinite elliptic operator
-
Franco Obersnel and Pierpaolo Omari — Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation
-
Mayte Perez-Llanos and Julio D. Rossi — Limits as $p(x)\to \infty $ of $p(x)$-harmonic functions with non-homogeneous Neumann boundary conditions
-
C. A. Stuart — Bifurcation and decay of solutions for a class of elliptic equations on $\mathbb {R}^N$
-
Sébastien de Valeriola and Michel Willem — Existence of nodal solutions for some nonlinear elliptic problems
-
Frédéric Robert — Admissible $Q$-curvatures under isometries for the conformal GJMS operators
-
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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This volume contains papers on semi-linear and quasi-linear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of Jean-Pierre Gossez's 65th birthday, held September 2–4, 2009 at the Université Libre de Bruxelles, Belgium.
The workshop reflected Gossez's contributions in nonlinear elliptic PDEs and provided an opening to new directions in this very active research area. Presentations covered recent progress in Gossez's favorite topics, namely various problems related to the \(p\)-Laplacian operator, the antimaximum principle, the Fučík Spectrum, and other related subjects. This volume will be of principle interest to researchers in nonlinear analysis, especially in partial differential equations of elliptic type.
Graduate students and research mathematicians interested in nonlinear partial differential equations.
-
Articles
-
Jean Mawhin — Partial differential equations also have principles: Maximum and antimaximum
-
Bernhard Ruf — On the Fučík spectrum for equations with symmetries
-
Bernd Kawohl — Variations on the $p$-Laplacian
-
Vincent Bouchez and Jean Van Schaftingen — Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation
-
Pierre Bousquet and Petru Mironescu — An elementary proof of an inequality of Maz’ya involving $L^1$ vector fields
-
David G. Costa and Chengyue Li — Homoclinic type solutions for a class of differential equations with periodic coefficients
-
Jacques Giacomoni, Jesús Hernández and Abdelkrim Moussaoui — Quasilinear and singular systems: The cooperative case
-
Pavel Drábek, Raúl F. Manásevich and Peter Takáč — Manifolds of critical points in a quasilinear model for phase transitions
-
Liamidi Leadi and Humberto Ramos Quoirin — Weighted asymmetric problems for an indefinite elliptic operator
-
Franco Obersnel and Pierpaolo Omari — Multiple non-trivial solutions of the Dirichlet problem for the prescribed mean curvature equation
-
Mayte Perez-Llanos and Julio D. Rossi — Limits as $p(x)\to \infty $ of $p(x)$-harmonic functions with non-homogeneous Neumann boundary conditions
-
C. A. Stuart — Bifurcation and decay of solutions for a class of elliptic equations on $\mathbb {R}^N$
-
Sébastien de Valeriola and Michel Willem — Existence of nodal solutions for some nonlinear elliptic problems
-
Frédéric Robert — Admissible $Q$-curvatures under isometries for the conformal GJMS operators
