An Improved Fountain Theorem and Its Application

Long-Jiang Gu, Huan-Song Zhou

Type: Article

Publication Date: 2016-12-21

Citations: 11

DOI: https://doi.org/10.1515/ans-2016-6007

Abstract

Abstract The main aim of the paper is to prove a fountain theorem without assuming the τ-upper semi-continuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with various sign-changing nonlinear terms. As an application, we obtain infinitely many solutions for a semilinear Schrödinger equation with strongly indefinite structure and sign-changing nonlinearity.

Locations

Advanced Nonlinear Studies - View
arXiv (Cornell University) - View - PDF
DOAJ (DOAJ: Directory of Open Access Journals) - View
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