Superlinear problems without Ambrosetti and Rabinowitz growth condition

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:245

Article

Miyagaki, O. H.¹  Souto, M. A. S.² 

[1] Univ Fed Vicosa, Dept Matemat, BR-36571000 Vicosa, MG, Brazil

[2] Univ Fed Campina Grande, Dept Matemat & Estat, BR-58109970 Campina Grande, PB, Brazil

关键词: Variational methods;    Critical points;    Superlinear problems;    Elliptic equations;   

DOI  :  10.1016/j.jde.2008.02.035

来源: Elsevier

【 摘 要 】

Superlinear elliptic boundary value problems without Ambrosetti and Rabinowitz growth condition are considered. Existence of nontrivial solution result is established by combining some arguments used by Struwe and Tarantello and Schechter and Zou (also by Wang and Wei). Firstly, by using the mountain pass theorem due to Ambrosetti and Rabinowitz is constructed a solution for almost every parameter; by varying the parameter L Then, it is considered the continuation of the solutions. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free