Existence and multiplicity of positive solutions to a perturbed singular elliptic system deriving from a strongly coupled critical potential

Boundary value problems

Tsing-San Hsu¹ 

[1] Department of Natural Sciences in the Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan, ROC

关键词: Palais-Smale condition;    Nehari manifold;    strongly coupled;    elliptic system;    critical potential;   

DOI  :  10.1186/1687-2770-2012-116

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider singular elliptic systems involving a strongly coupled critical potential and concave nonlinearities. By using variational methods and analytical techniques, the existence and multiplicity of positive solutions to the system are established. MSC: 35J60, 35B33.

【 授权许可】

CC BY