Acta mathematica scientia,Series B ›› 2010, Vol. 30 ›› Issue (5): 1529-1540.doi: 10.1016/S0252-9602(10)60146-4

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SOLUTIONS FOR THE QUASILINEAR ELLIPTIC PROBLEMS INVOLVING CRITICAL HARDY--SOBOLEV EXPONENTS

 KANG Dong-Sheng   

  1. School of Mathematics and Statistics, South-Central University For Nationalities,  Wuhan |430074, China
  • Received:2008-07-16 Online:2010-09-20 Published:2010-09-20
  • Supported by:

    This work is supported partly by the National Natural Science Foundation of China (10771219).

Abstract:

In this article,  we study  the quasilinear  elliptic problem involving critical Hardy--Sobolev exponents and Hardy  terms. By  variational methods and analytic techniques, we obtain  the existence of sign--changing solutions to the problem.

Key words: quasilinear problem,  critical exponent, solution, variational method

CLC Number: 

  • 35B33
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