Multiplicity of solutions for elliptic problems of p -Kirchhoff type with critical exponent

Boundary value problems

Chenxing Zhou¹  Yueqiang Song² 

[1] College of Mathematics, Changchun Normal University, Changchun, P.R. China;Scientific Research Department, Changchun Normal University, Changchun, P.R. China

关键词: p-Kirchhoff-type problem;    critical growth;    concentration-compactness principle;    variational method;    35J70;    35B20;   

DOI  :  10.1186/s13661-015-0489-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we consider a class of elliptic problems of p-Kirchhoff type with critical exponent in bounded domains and new results as regards the existence and multiplicity of solutions are obtained by using the concentration-compactness principle and variational method.

【 授权许可】

CC BY