点击次数：

论文类型：期刊论文

发表时间：2016-06-28

发表刊物：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

收录刊物：SCIE

ISSN号：1072-6691

关键字：Quasilinear Schrodinger equation; critical growth; sign-changing potential; mountain pass theorem; (PS)(c) sequence

摘要：We study the existence of nontrivial solutions for a class of quasi linear Schrodinger equations in R-N with critical nonlinearity, where the potential is allowed to change signs. The quasilinear equations are reduced to semilinear equations by using a change of variable. The geometric hypotheses of a mountain pass theorem without compactness conditions are satisfied so that the equation possesses a nontrivial solution.