Recent Trends in Nonlinear Partial Differential Equations I: Evolution Problems
About this Title
James B. Serrin, Enzo L. Mitidieri, University of Trieste, Trieste, Italy and Vicenţiu D. Rădulescu, University of Craiova, Craiova, Romania, Editors
Publication: Contemporary Mathematics
Publication Year 2013: Volume 594
ISBNs: 978-0-8218-8736-3 (print); 978-1-4704-0992-0 (online)
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.
Table of Contents
- 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 –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 sign-changing 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 socio-political conflicts
- Fernando Farroni, Raffaella Giova and Carlo Sbordone – Regularity points of –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 Moser-Trudinger 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