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Softcover ISBN:  9780821849071 
Product Code:  CONM/540 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/540.E 
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AMS Member Price:  $100.00 
Softcover ISBN:  9780821849071 
eBook ISBN:  9780821882191 
Product Code:  CONM/540.B 
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Book DetailsContemporary MathematicsVolume: 540; 2011; 259 ppMSC: Primary 35; 46; 49; 58
This volume contains papers on semilinear and quasilinear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of JeanPierre 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.

Table of Contents

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 PoincaréSobolev 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 nontrivial solutions of the Dirichlet problem for the prescribed mean curvature equation

Mayte PerezLlanos and Julio D. Rossi — Limits as $p(x)\to \infty $ of $p(x)$harmonic functions with nonhomogeneous 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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This volume contains papers on semilinear and quasilinear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of JeanPierre 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 PoincaréSobolev 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 nontrivial solutions of the Dirichlet problem for the prescribed mean curvature equation

Mayte PerezLlanos and Julio D. Rossi — Limits as $p(x)\to \infty $ of $p(x)$harmonic functions with nonhomogeneous 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