Infinitely many solutions for semilinear Schrodinger equations with sign-changing potential and nonlinearity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Tang, X. H.

关键词: Schrodinger equation;    Super-quadratic;    Sign-changing potential;   

DOI  :  10.1016/j.jmaa.2012.12.035

来源: Elsevier

【 摘 要 】

In this paper, we study the existence of infinitely many nontrivial solutions for a class of semilinear Schrodinger equations [GRAPHICS] , where the potential V is allowed to be sign-changing, and the primitive of the nonlinearity f is of super-quadratic growth near infinity in u and is also allowed to be sign-changing. Our super-quadratic growth conditions weaken the Ambrosetti-Rabinowitz type condition. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

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