An Answer to the Problem Posed by H. Brezis  

作　　者：王传芳 薛儒英 

机构地区：[1]Department of Mathematics, Hangzhou University, Hangzhou 310028, PRC

出　　处：《Chinese Science Bulletin》1993年第5期366-369,共4页

基　　金：Project supported by the Natural Science Foundation of Zhejiang Province.

摘　　要：Let ΩR^N(N≥4) be a bounded domain with smooth boundary Ω. In this note, we shall prove the existence of a nontrivial solution of the following semilinear elliptic equation with critical Sobolev exponent where a(x), K(x)∈C(); K(x)≥0, K(x)0 and a(x)】0 somewhere. It is well known that this solution can be found by minimizing the

关 键 词：CRITICAL Soholev EXPONENT SEMILINEAR ELLIPTIC equation. 

分 类 号：N[自然科学总论]