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Book DetailsContemporary MathematicsVolume: 594; 2013; 307 ppMSC: Primary 35; Secondary 34; 47; 58;
This book is the first of two volumes which 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 Professor 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 595) is devoted to stationary problems in nonlinear partial differential equations.ReadershipGraduate students and research mathematicians interested in nonlinear partial differential equations.

Table of Contents

Articles

Jean Mawhin  A tribute to Patrizia Pucci

Gianluca Vinti  A scientific profile of Patrizia Pucci

James B. Serrin

Boumediene Abdellaoui, Ireneo Peral and Magdalena Walias  Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term

Giuseppina Autuori  A priori estimates for solutions of $p$–Kirchhoff systems under dynamic boundary conditions

Gerassimos Barbatis and Filippo Gazzola  Higher order linear parabolic equations

Nicola Bellomo and Vincenzo Coscia  Sources of Nonlinearity in the Kinetic Theory for Active Particles with Focus on the Formation of Political Opinions

Bruno Bianchini, Luciano Mari and Marco Rigoli  Yamabe type equations with signchanging nonlinearities on the Heisenberg group, and the role of Green functions

Michel Chipot and Karen Yeressian  Asymptotic behavior of the solution to variational inequalities with joint constraints on its value and its gradient

Francesca Colasuonno and Maria Cesarina Salvatori  Existence and uniqueness of solutions to a Cauchy problem modeling the dynamics of sociopolitical conflicts

Fernando Farroni, Raffaella Giova and Carlo Sbordone  Regularity points of ${\rm ACL}$–homeomorphisms in the plane

Simona Fornaro, Maria Sosio and Vincenzo Vespri  Energy Estimates and Integral Harnack inequality for some doubly nonlinear singular parabolic equations

Konstantinos T. Gkikas and Laurent Véron  Initial value problems for diffusion equations with singular potential

Ermanno Lanconelli and Annamaria Montanari  On a class of fully nonlinear PDEs from complex geometry

Andrea Malchiodi  Concentration of conformal volume, improved MoserTrudinger inequalities and Toda systems

Jean Mawhin  Periodic solutions of Lagrangian difference systems: Periodic nonlinearities (almost) don’t matter

Dimitri Mugnai  A limit problem for degenerate quasilinear variational inequalities in cylinders

Enzo Vitillaro  Strong solutions for the wave equation with a kinetic boundary condition


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This book is the first of two volumes which 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 Professor 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 595) is devoted to stationary problems in nonlinear partial differential equations.
Graduate students and research mathematicians interested in nonlinear partial differential equations.

Articles

Jean Mawhin  A tribute to Patrizia Pucci

Gianluca Vinti  A scientific profile of Patrizia Pucci

James B. Serrin

Boumediene Abdellaoui, Ireneo Peral and Magdalena Walias  Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term

Giuseppina Autuori  A priori estimates for solutions of $p$–Kirchhoff systems under dynamic boundary conditions

Gerassimos Barbatis and Filippo Gazzola  Higher order linear parabolic equations

Nicola Bellomo and Vincenzo Coscia  Sources of Nonlinearity in the Kinetic Theory for Active Particles with Focus on the Formation of Political Opinions

Bruno Bianchini, Luciano Mari and Marco Rigoli  Yamabe type equations with signchanging nonlinearities on the Heisenberg group, and the role of Green functions

Michel Chipot and Karen Yeressian  Asymptotic behavior of the solution to variational inequalities with joint constraints on its value and its gradient

Francesca Colasuonno and Maria Cesarina Salvatori  Existence and uniqueness of solutions to a Cauchy problem modeling the dynamics of sociopolitical conflicts

Fernando Farroni, Raffaella Giova and Carlo Sbordone  Regularity points of ${\rm ACL}$–homeomorphisms in the plane

Simona Fornaro, Maria Sosio and Vincenzo Vespri  Energy Estimates and Integral Harnack inequality for some doubly nonlinear singular parabolic equations

Konstantinos T. Gkikas and Laurent Véron  Initial value problems for diffusion equations with singular potential

Ermanno Lanconelli and Annamaria Montanari  On a class of fully nonlinear PDEs from complex geometry

Andrea Malchiodi  Concentration of conformal volume, improved MoserTrudinger inequalities and Toda systems

Jean Mawhin  Periodic solutions of Lagrangian difference systems: Periodic nonlinearities (almost) don’t matter

Dimitri Mugnai  A limit problem for degenerate quasilinear variational inequalities in cylinders

Enzo Vitillaro  Strong solutions for the wave equation with a kinetic boundary condition