Existence and concentration of solutions for a class of biharmonic equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:390

Article

Pimenta, Marcos T. O.²  Soares, Sergio H. M.¹ 

[1] Univ Sao Paulo, Dept Matemat, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP, Brazil

[2] Univ Estadual Londrina, Dept Matemat, BR-86051990 Londrina, PR, Brazil

关键词: Variational methods;    Biharmonic equations;    Nontrivial solutions;   

DOI  :  10.1016/j.jmaa.2012.01.039

来源: Elsevier

【 摘 要 】

Some superlinear fourth order elliptic equations are considered. A family of solutions is proved to exist and to concentrate at a point in the limit. The proof relies on variational methods and makes use of a weak version of the Ambrosetti-Rabinowitz condition. The existence and concentration of solutions are related to a suitable truncated equation. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free