Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-06-28

Journal: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: SCIE

ISSN: 1072-6691

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

Abstract: 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.