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Indexed by:期刊论文

Date of Publication:2015-04-10

Journal:ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:SCIE

ISSN No.:1072-6691

Key Words:Quasilinear Schrodinger equation; local linking; fountain theorem; indefinite potential

Abstract:In this article, we study the existence and multiplicity of solutions of the quasilinear Schrodinger equation
   -u '' + V(x)u - ( broken vertical bar u broken vertical bar(2))'' u = f (u)
   on R, 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.