Serrin J.B., Mitidieri E.L., Radulescu V.D. (eds.) Recent Trends in Nonlinear Partial Differential Equations II: Stationary Problems

Providence: American Mathematical Society, 2013. — 354 p.On May 11, 2012, Professor Patrizia Pucci turned 60. In celebration of Patrizia Pucci’s birthday, a conference was held at the University of Perugia during May 28 and June 1, 2012. The main purpose of this scientific meeting has been to bring together leading experts and researchers in nonlinear partial differential equations, to promote research and to stimulate interactions among the participants. An atmosphere of particular warmth and the high scientific level made this conference memorable. The program testified to the wide ranging influence of Professor Pucci on the field of nonlinear analysis and partial differential equations. Many of the speakers also spoke about the generosity of Patrizia in welcoming and encouraging young new researchers.
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 these two volumes.
The articles in these volumes are primarily from the conference held in Perugia. They present an original view of the state of the art of many aspects of nonlinear partial differential equations. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges. The present volume contains contributions on the field of nonlinear stationary partial differential equations