Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (3): 791-804.doi: 10.1016/S0252-9602(11)60276-2

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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

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

CLC Number: 

  • 35J50
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