A positive solution of a p -Laplace-like equation with critical growth

Journal of inequalities and applications

Zhou Yang¹ 

关键词: p-Laplace-like operator;    critical growth;    concentration-compactness principle;    weakly continuity;   

DOI  :  10.1186/1029-242X-2012-218

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The existence of a positive solution of a p-Laplace-like equation with critical growth is established by the generalization to the concentration-compactness principle and the Sobolev inequality under some proper assumptions. Moreover, we achieve some regularity results of the solution. MSC:35J65.

【 授权许可】

CC BY