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

作　　者：刘晓春 梅媛 

机构地区：[1]School of Mathematics and Statistics,Wuhan University

出　　处：《Acta Mathematica Scientia》2013年第2期543-555,共13页数学物理学报（B辑英文版）

基　　金：supported by NSFC (11171261);RFDP (200804860046)

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

分 类 号：O175.25[理学—数学] TU375.4[理学—基础数学]