Nonsmooth Critical Point Theorems Without Compactness
Functional Analysis
2007-05-23 v1 Analysis of PDEs
Abstract
We establish an abstract critical point theorem for locally Lipschitz functionals that does not require any compactness condition of Palais-Smale type. It generalizes and unifies three other critical point theorems established in [Jabri-Moussaoui] for -functionals under slightly stronger assumptions. Our approach uses continuous selections of multivalued mappings.
Keywords
Cite
@article{arxiv.math/0202107,
title = {Nonsmooth Critical Point Theorems Without Compactness},
author = {Youssef Jabri},
journal= {arXiv preprint arXiv:math/0202107},
year = {2007}
}