Contemporary Mathematics 2013; 307 pp; softcover Volume: 594 ISBN10: 082188736X ISBN13: 9780821887363 List Price: US$111 Member Price: US$88.80 Order Code: CONM/594
 This book is the first of two volumes which contain the proceedings of the Workshop on Nonlinear Partial Differential Equations, held from May 28June 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. Readership Graduate students and research mathematicians interested in nonlinear partial differential equations. Table of Contents  J. Mawhin  A tribute to Patrizia Pucci
 G. Vinti  A scientific profile of Patrizia Pucci
 J. Serrin  The Liouville theorem for homogeneous elliptic differential inequalities
 B. Abdellaoui, I. Peral, and M. Walias  Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term
 G. Autuori  A priori estimates for solutions of \(p\)Kirchhoff systems under dynamic boundary conditions
 G. Barbatis and F. Gazzola  Higher order linear parabolic equations
 N. Bellomo and V. Coscia  Sources of nonlinearity in the kinetic theory for active particles with focus on the formation of political opinions
 B. Bianchini, L. Mari, and M. Rigoli  Yamabe type equations with signchanging nonlinearities on the Heisenberg group, and the role of Green functions
 M. Chipot and K. Yeressian  Asymptotic behavior of the solution to variational inequalities with joint constraints on its value and its gradient
 F. Colasuonno and M. C. Salvatori  Existence and uniqueness of solutions to a Cauchy problem modeling the dynamics of sociopolitical conflicts
 F. Farroni, R. Giova, and C. Sbordone  Regularity points of ACLhomeomorphisms in the plane
 S. Fornaro, M. Sosio, and V. Vespri  Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations
 K. T. Gkikas and L. Véron  Initial value problems for diffusion equations with singular potential
 E. Lanconelli and A. Montanari  On a class of fully nonlinear PDEs from complex geometry
 A. Malchiodi  Concentration of conformal volume, improved MoserTrudinger inequalities and Toda systems
 J. Mawhin  Periodic solutions of Lagrangian difference systems: Periodic nonlinearities (almost) don't matter
 D. Mugnai  A limit problem for degenerate quasilinear variational inequalities in cylinders
 E. Vitillaro  Strong solutions for the wave equation with a kinetic boundary condition
