Existence of a positive solution to Kirchhoff type problems without compactness conditions

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:253

Article

Li, Yuhua¹  Li, Fuyi¹  Shi, Junping^1,2 

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

关键词: Kirchhoff type problem;    Variational methods;    Cut-off functional;   

DOI  :  10.1016/j.jde.2012.05.017

来源: Elsevier

【 摘 要 】

The existence of a positive solution to a Kirchhoff type problem on R-N is proved by using variational methods, and the new result does not require usual compactness conditions. A cut-off functional is utilized to obtain the bounded Palais-Smale sequences. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free