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Book DetailsContemporary MathematicsVolume: 595; 2013; 340 ppMSC: Primary 35; Secondary 34; 47; 58;
This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28–June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday.
The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations.
In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.
The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.ReadershipGraduate students and research mathematicians interested in nonlinear partial differential equations.

Table of Contents

Articles

Stefano Almi and Marco Degiovanni  On degree theory for quasilinear elliptic equations with natural growth conditions

David Arcoya, José Carmona and Pedro J. MartínezAparicio  Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms

MarieFrançoise BidautVéron, Marta GarcíaHuidobro and Laurent Véron  Remarks on some quasilinear equations with gradient terms and measure data

Lucio Boccardo  The effect of a linear term in some nonlinear elliptic equations with singular data

Matteo Bonforte, Gabriele Grillo and Juan Luis Vazquezo  Quantitative bounds for subcritical semilinear elliptic equations

MariaMagdalena Boureanu, Benedetta Noris and Susanna Terracini  Sub and supersolutions, invariant cones and multiplicity results for $p$Laplace equations

Daniele Cassani, Bernhard Ruf and Cristina Tarsi  A Moser type inequality in Zygmund spaces without boundary conditions

Eduardo Colorado  Existence results for some systems of coupled fractional nonlinear Schrödinger equations

Vittorio Coti Zelati and Margherita Nolasco  Ground states for pseudorelativistic equations with combined power and Hartreetype nonlinearities

Giovanni Cupini, Paolo Marcellini and Elvira Mascolo  Local boundedness of solutions to some anisotropic elliptic systems

Lucio Damascelli, Francesca Gladiali and Filomena Pacella  A symmetry result for semilinear cooperative elliptic systems

Lorenzo D’Ambrosio and Enzo Mitidieri  An application of Kato’s inequality to quasilinear elliptic problems

Francesca Faraci, Antonio Iannizzotto and Csaba Varga  Multiplicity results for constrained Neumann problems

Alberto Farina  On the classification of entire local minimizers of the GinzburgLandau equation

Roberta Filippucci  A Liouville result on a half space

Marius Ghergu  Singular elliptic systems of LaneEmden type

HansChristoph Grunau and Frédéric Robert  Uniform estimates for polyharmonic Green functions in domains with small holes

Giovanni Molica Bisci  Variational problems on the Sphere

Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu  Semilinear Neumann problems with indefinite and unbounded potential and crossing nonlinearity

Raffaella Servadei  Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity


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This book is the second of two volumes that contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28–June 1, 2012, at the University of Perugia in honor of Patrizia Pucci's 60th birthday.
The workshop brought together leading experts and researchers in nonlinear partial differential equations to promote research and to stimulate interactions among the participants. The workshop program testified to the wide ranging influence of Patrizia Pucci on the field of nonlinear analysis and partial differential equations.
In her own work, Patrizia Pucci has been a seminal influence in many important areas: the maximum principle, qualitative analysis of solutions to many classes of nonlinear PDEs (Kirchhoff problems, polyharmonic systems), mountain pass theorem in the critical case, critical exponents, variational identities, as well as various degenerate or singular phenomena in mathematical physics. This same breadth is reflected in the mathematical papers included in this volume.
The companion volume (Contemporary Mathematics, Volume 594) is devoted to evolution problems in nonlinear partial differential equations.
Graduate students and research mathematicians interested in nonlinear partial differential equations.

Articles

Stefano Almi and Marco Degiovanni  On degree theory for quasilinear elliptic equations with natural growth conditions

David Arcoya, José Carmona and Pedro J. MartínezAparicio  Radial solutions for a Gelfand type quasilinear elliptic problem with quadratic gradient terms

MarieFrançoise BidautVéron, Marta GarcíaHuidobro and Laurent Véron  Remarks on some quasilinear equations with gradient terms and measure data

Lucio Boccardo  The effect of a linear term in some nonlinear elliptic equations with singular data

Matteo Bonforte, Gabriele Grillo and Juan Luis Vazquezo  Quantitative bounds for subcritical semilinear elliptic equations

MariaMagdalena Boureanu, Benedetta Noris and Susanna Terracini  Sub and supersolutions, invariant cones and multiplicity results for $p$Laplace equations

Daniele Cassani, Bernhard Ruf and Cristina Tarsi  A Moser type inequality in Zygmund spaces without boundary conditions

Eduardo Colorado  Existence results for some systems of coupled fractional nonlinear Schrödinger equations

Vittorio Coti Zelati and Margherita Nolasco  Ground states for pseudorelativistic equations with combined power and Hartreetype nonlinearities

Giovanni Cupini, Paolo Marcellini and Elvira Mascolo  Local boundedness of solutions to some anisotropic elliptic systems

Lucio Damascelli, Francesca Gladiali and Filomena Pacella  A symmetry result for semilinear cooperative elliptic systems

Lorenzo D’Ambrosio and Enzo Mitidieri  An application of Kato’s inequality to quasilinear elliptic problems

Francesca Faraci, Antonio Iannizzotto and Csaba Varga  Multiplicity results for constrained Neumann problems

Alberto Farina  On the classification of entire local minimizers of the GinzburgLandau equation

Roberta Filippucci  A Liouville result on a half space

Marius Ghergu  Singular elliptic systems of LaneEmden type

HansChristoph Grunau and Frédéric Robert  Uniform estimates for polyharmonic Green functions in domains with small holes

Giovanni Molica Bisci  Variational problems on the Sphere

Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu  Semilinear Neumann problems with indefinite and unbounded potential and crossing nonlinearity

Raffaella Servadei  Infinitely many solutions for fractional Laplace equations with subcritical nonlinearity