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Indexed by:期刊论文

Date of Publication:2015-01-01

Journal:Electronic Journal of Differential Equations

Included Journals:Scopus

Volume:2015

ISSN No.: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.