Semiclassical solutions for the nonlinear Schrodinger-Maxwell equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Huang, Wen-nian¹  Tang, X. H.¹ 

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

关键词: Schrodinger-Maxwell equations;    Semiclassical solution;    Variational methods;    Critical point;   

DOI  :  10.1016/j.jmaa.2014.02.015

来源: Elsevier

【 摘 要 】

In this paper, by using variational methods and critical point theory, we study the existence of semiclassical solutions for the following nonlinear Schrodinger-Maxwell equations [GRAPHICS] where epsilon > 0 and V(x) >= 0 for all x is an element of R-3. Under some weaker assumptions on V and f, we prove that the system has at least one nontrivial solution for sufficient small epsilon > 0. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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