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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