The critical problem of Kirchhoff type elliptic equations in dimension four

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Naimen, Daisuke

关键词: Kirchhoff;    Nonlocal;    Elliptic;    Critical;    Variational method;   

DOI  :  10.1016/j.jde.2014.05.002

来源: Elsevier

【 摘 要 】

We study the following Kirchhoff type elliptic problem, [GRAPHICS] where Omega subset of R-4 is a bounded domain with smooth boundary delta Omega. Moreover, we assume a,lambda,mu > 0, b >= 0 and 1 <= q < 3. In this paper, we prove the existence of solutions of (P). Our tools are the variational method and the concentration compactness argument for PS sequences. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free