English

A general variational principle and some of its applications

Optimization and Control 2007-05-23 v1

Abstract

In this paper, given a reflexive real Banach space X and two sequentially weakly lower semicontinuous functionals Phi, Psi on X with Psi strongly continuous and coercive, we are mainly interested in the existence of infinitely many local minima of the functional capital Phi + r Psi for each sufficiently real r.

Keywords

Cite

@article{arxiv.math/0501002,
  title  = {A general variational principle and some of its applications},
  author = {Biagio Ricceri},
  journal= {arXiv preprint arXiv:math/0501002},
  year   = {2007}
}

Comments

10 pages

R2 v1 2026-07-22T17:14:05.424Z