Existence and Multiplicity of Solutions for Nonlocal Systems with Kirchhoff Type

作     者：Zhi-tao ZHANG Yi-min SUN 

作者机构：Academy of Mathematics and Systems ScienceChinese Academy of Sciences School of MathematicsNorthwest University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2016年第32卷第1期

页      面：35-54页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(No.11325107 11271353 11331010) 

主　　题：Critical point Nehari manifold cohomological index 

摘      要：Firstly,we use Nehari manifold and Mountain Pass Lemma to prove an existence result of positive solutions for a class of nonlocal elliptic system with Kirchhoff *** a multiplicity result is established by cohomological index of Fadell and *** also consider the critical case and prove existence of positive least energy solution when the parameter β is sufficiently large.