Display Abstract

Title A local minimum theorem and applications

Name Gabriele Bonanno
Country Italy
Email bonanno@unime.it
Co-Author(s)
Submit Time 2014-02-27 10:33:58
Session
Special Session 21: Variational, topological, and set-valued methods for differential problems
Contents
A local minimum theorem is presented and applications to nonlinear problems, as elliptic Dirichlet problems with critical growth, are given. Relations between the mountain pass theorem and local minima are pointed out. As a consequence, multiple critical points theorems, as a theorem of two nonzero critical points, are obtained. Finally, multiplicity results for wide classes of nonlinear problems are established.