Existence of positive solutions to Kirchhoff type problems with zero mass

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

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;    Zero mass;    Variational method;    Cut-off functional;   

DOI  :  10.1016/j.jmaa.2013.08.030

来源: Elsevier

【 摘 要 】

The existence of positive solutions depending on a nonnegative parameter lambda to Kirchhoff type problems with zero mass is proved by using variational method, and the new result does not require usual compactness conditions. A priori estimate and a Pohozaev type identity are used to obtain the bounded Palais-Smale sequences for constant coefficient nonlinearity, while a cut-off functional and Pohozaev type identity are utilized to obtain the bounded Palais-Smale sequences for the variable-coefficient case. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free