Generalized fountain theorem and application to strongly indefinite semilinear problems
Analysis of PDEs
2013-06-18 v1
Abstract
By using the degree theory and the topology of Kryszewski and Szulkin, we establish a version of the Fountain Theorem for strongly indefinite functionals. The abstract result will be applied for studying the existence of infinitely many solutions of two strongly indefinite semilinear problems including the semilinear Schr\"{o}dinger equation.
Keywords
Cite
@article{arxiv.1301.7098,
title = {Generalized fountain theorem and application to strongly indefinite semilinear problems},
author = {Cyril J. Batkam and Fabrice Colin},
journal= {arXiv preprint arXiv:1301.7098},
year = {2013}
}