Articles

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

  • LIU Xiao-Chun ,
  • MEI Yuan
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  • School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received date: 2011-10-26

  Revised date: 2012-07-18

  Online 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.

Cite this article

LIU Xiao-Chun , MEI Yuan . EXISTENCE OF NODAL SOLUTION FOR SEMI-LINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV EXPONENT ON SINGULAR#br# MANIFOLD[J]. Acta mathematica scientia, Series B, 2013 , 33(2) : 543 -555 . DOI: 10.1016/S0252-9602(13)60018-1

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