Multiplicity of solutions for Kirchhoff-type problems involving critical growth

Boundary value problems

Chenxing Zhou¹  Sihua Liang¹  Fenghua Miao¹  Yueqiang Song² 

[1] College of Mathematics, Changchun Normal University, Changchun, P.R. China;Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education, Jilin University, Changchun, P.R. China

关键词: Kirchhoff-type problems;    critical growth;    concentration-compactness principle;    variational method;   

DOI  :  10.1186/s13661-014-0210-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by using the concentration-compactness principle and the variational method, we obtain a multiplicity result for Kirchhoff-type problems involving critical growth in bounded domains. MSC: 35J70, 35B20.

【 授权许可】

CC BY