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论文类型：期刊论文

发表时间：2015-04-10

发表刊物：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

收录刊物：SCIE

ISSN号：1072-6691

关键字：Quasilinear Schrodinger equation; local linking; fountain theorem; indefinite potential

摘要：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.