Minimax systems |
| |
Authors: | Martin Schechter |
| |
Institution: | Department of Mathematics, University of California, Irvine, CA 92697-3875, USA |
| |
Abstract: | The variational approach to solving nonlinear problems eventually leads to the search for critical points of related functionals. In case of semibounded functionals, one can look for extrema. Otherwise, one is forced to use minimax methods. There are several approaches to such methods. In this paper we unify these approaches providing one theory that works for all of them. The usual approach has used Palais-Smale sequences. We show that all of them lead to Cerami sequences as well. Applications are given. |
| |
Keywords: | Critical point theory Variational methods Saddle point theory Semilinear differential equations |
本文献已被 ScienceDirect 等数据库收录! |
|