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EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATIONS WITH SIGN-CHANGING POTENTIAL

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-01-03

Journal: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 2014

ISSN: 1072-6691

Key Words: Quasilinear Schrodinger equation; sign-changing potential; Cerami sequences

Abstract: In this article we consider the quasilinear Schrodinger equation where the potential is sign-changing. We employ a mountain pass argument without compactness conditions to obtain the existence of a nontrivial solution.

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