Electron. J. Diff. Equ., Vol. 2014 (2014), No. 05, pp. 1-8.

Existence of nontrivial solutions for a quasilinear Schrodinger equations with sign-changing potential

Xiang-Dong Fang, Zhi-Qing Han

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.

Submitted September 13, 2013. Published January 3, 2014.
Math Subject Classifications: 35A01, 35A15, 35Q55.
Key Words: Quasilinear Schrodinger equation; sign-changing potential; Cerami sequences.

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Xiang-Dong Fang
School of Mathematical Sciences
Dalian University of Technology
116024 Dalian, China
email: fangxd0401@gmail.com, Phone +86 15840980504
Zhi-Qing Han
School of Mathematical Sciences
Dalian University of Technology
116024 Dalian, China
email: hanzhiq@dlut.edu.cn

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