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

Authors :: XIANG-DONG FANG
ZHI-QING HAN
Source :: Electronic Journal of Differential Equations. 2014, Vol. 2014, p1-8. 8p.
Publication Year :: 2014
Abstract: In this article we consider the quasilinear Schrödinger equation where the potential is sign-changing. We employ a mountain pass argument without compactness conditions to obtain the existence of a nontrivial solution. [ABSTRACT FROM AUTHOR]

Subjects :: *QUASILINEARIZATION
*SCHRODINGER operator
*SCHRODINGER equation
*MOUNTAIN pass theorem
*PARTIAL differential equations

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