Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (2): 543-555.doi: 10.1016/S0252-9602(13)60018-1

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EXISTENCE OF NODAL SOLUTION FOR SEMI-LINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENT ON SINGULAR#br# MANIFOLD

 LIU Xiao-Chun, MEI Yuan   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2011-10-26 Revised:2012-07-18 Online:2013-03-20 Published:2013-03-20
  • Supported by:

    The first author is supported by NSFC (11171261) and RFDP (200804860046).

Abstract:

In this article, we prove that semi-linear elliptic equations with critical cone Sobolev exponents possess a nodal solution.

Key words: Cone Sobolev space, critical exponent, nodal solution

CLC Number: 

  • 35J20
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