数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (3): 791-804.doi: 10.1016/S0252-9602(11)60276-2

• 论文 • 上一篇    下一篇

MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CONCAVE EXPONENTS

Tsing-San Hsu, Huei-Lin Li   

  1. Center for General Education, Chang Gung University, Tao-Yuan, Taiwan, China
  • 收稿日期:2009-06-29 出版日期:2011-05-20 发布日期:2011-05-20

MULTIPLICITY OF POSITIVE SOLUTIONS FOR SINGULAR ELLIPTIC SYSTEMS WITH CRITICAL SOBOLEV-HARDY AND CONCAVE EXPONENTS

Tsing-San Hsu, Huei-Lin Li   

  1. Center for General Education, Chang Gung University, Tao-Yuan, Taiwan, China
  • Received:2009-06-29 Online:2011-05-20 Published:2011-05-20

摘要:

In this paper, we consider a singular elliptic system with both concave nonlinearities and critical Sobolev-Hardy growth terms in bounded domains. By means of variational methods, the multiplicity of positive solutions to this problem is obtained.

关键词: elliptic system, critical Sobolev-Hardy exponent, concave exponents, Nehari manifold

Abstract:

In this paper, we consider a singular elliptic system with both concave nonlinearities and critical Sobolev-Hardy growth terms in bounded domains. By means of variational methods, the multiplicity of positive solutions to this problem is obtained.

Key words: elliptic system, critical Sobolev-Hardy exponent, concave exponents, Nehari manifold

中图分类号: 

  • 35J50