Positive solution to a class of relativistic nonlinear Schrodinger equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:411

Article

Cheng, Yongkuan¹  Yang, Jun¹ 

[1] S China Univ Technol, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

关键词: Schrodinger equations;    Mountain pass theorem;    Positive solutions;   

DOI  :  10.1016/j.jmaa.2013.10.006

来源: Elsevier

【 摘 要 】

Using a change of variables, we convert a quasilinear elliptic equation into a semilinear one. Then by Jeanjean's result [6], we get a bounded (PS) sequence for the corresponding functional and show the existence of positive nontrivial solution. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free