Li-Li Wang, Zhi-Qing Han
Abstract:
We study the existence of nontrivial solutions for a class of
quasilinear 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.
Submitted December 24, 2014. Published June 28, 2016.
Math Subject Classifications: 35A01, 35A15, 35Q55.
Key Words: Quasilinear Schrodinger equation; critical growth;
sign-changing potential; mountain pass theorem; (PS)c sequence.
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Li-Li Wang School of Mathematical Sciences Dalian University of Technology 116024 Dalian, China email: lili_wang@aliyun.com | |
Zhi-Qing Han School of Mathematical Sciences Dalian University of Technology 116024 Dalian, China email: hanzhiq@dlut.edu.cn |
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