数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 543-555.doi: 10.1016/S0252-9602(13)60018-1

• 论文 • 上一篇    下一篇

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

刘晓春|梅媛   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2011-10-26 修回日期:2012-07-18 出版日期:2013-03-20 发布日期:2013-03-20
  • 基金资助:

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

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).

摘要:

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

关键词: Cone Sobolev space, critical exponent, nodal solution

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

中图分类号: 

  • 35J20