Serrin J.B., Mitidieri E.L., Radulescu V.D. (Eds.) Recent Trends in Nonlinear Partial Differential Equations I: Evolution Problems

American Mathematical Society, 2012. — 322 p. — (Contemporary mathematics 594) — ISBN: 082188736X.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, Italy in honour 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 programme 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.A tribute to Patrizia Pucci
A scientific profile of Patrizia Pucci
The Liouville theorem for homogeneous elliptic differential inequalities
Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term
A priori estimates for solutions of p–Kirchhoff systems under dynamic boundary conditions
Higher order linear parabolic equations
Sources of nonlinearity in the kinetic theory for active particles with focus on the formation of political opinions
Yamabe type equations with sign-changing nonlinearities on the Heisenberg group, and the role of Green functions
Asymptotic behavior of the solution to variational inequalities with joint constraints on its value and its gradient
Existence and uniqueness of solutions to a Cauchy problem modeling the dynamics of socio-political conflicts
Regularity points of ACL–homeomorphisms in the plane
Energy estimates and integral Harnack inequality for some doubly nonlinear singular parabolic equations
Initial value problems for diffusion equations with singular potential
On a class of fully nonlinear PDEs from complex geometry
Concentration of conformal volume, improved Moser-Trudinger inequalities