English

Some Applications of Generalized Mountain Pass Lemma

Functional Analysis 2014-02-25 v1 Dynamical Systems

Abstract

The Ghoussoub-Preiss's generalized Mountain Pass Lemma with Cerami-Palais-Smale type condition is a generalization of classical MPL of Ambrosetti-Rabinowitz, we apply it to study the existence of the periodic solutions with a given energy for some second order Hamiltonian systems with symmetrical and non-symmetrical potentials.

Keywords

Cite

@article{arxiv.1402.5725,
  title  = {Some Applications of Generalized Mountain Pass Lemma},
  author = {Fengying Li and Bingyu Li and Shiqing Zhang},
  journal= {arXiv preprint arXiv:1402.5725},
  year   = {2014}
}
R2 v1 2026-06-22T03:14:11.461Z