Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2015-01-01

Journal: Electronic Journal of Differential Equations

Included Journals: Scopus

Volume: 2015

ISSN: 10726691

Abstract: In this article, we study the existence and multiplicity of solutions of the quasilinear Schr?dinger equation  Cu?+V(x)u ? (  u  2)?u = f(u) on ?, where the potential V allows sign changing and the nonlinearity satisfies conditions weaker than the classical Ambrosetti-Rabinowitz condition. By a local linking theorem and the fountain theorem, we obtain the existence and multiplicity of solutions for the equation. ? 2015 Texas State University - San Marcos.