Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (6): 1907-1921.doi: 10.1016/S0252-9602(14)60134-X

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EXISTENCE RESULTS FOR DEGENERATE ELLIPTIC EQUATIONS WITH CRITICAL CONE SOBOLEV EXPONENTS

 FAN Hai-Ning*, LIU Xiao-Chun   

  1. School of Sciences, China University of Mining and Technology, Xuzhou 221116, China;Department of Mathematics, Wuhan University, Wuhan 430072, China; Department of Mathematics, Wuhan University, Wuhan 430072, China
  • Received:2013-04-23 Revised:2013-10-30 Online:2014-11-20 Published:2014-11-20
  • Contact: FAN Hai-Ning,fanhaining888@163.com E-mail:fanhaining888@163.com;xcliu@whu.edu.cn
  • Supported by:

    This work was supported by NSFC (11371282).

Abstract:

In this paper, we study the existence result for degenerate elliptic equations with singular potential and critical cone sobolev exponents on singular manifolds. With the help of the variational method and the theory of genus, we obtain several results under different conditions.

Key words: existence results, variational method, critical cone Sobolev exponent, singular potential

CLC Number: 

  • 35J20
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