THE EXISTENCE OF A WEAK SOLUTION OF QUASI-LINEAR ELLIPTIC EQUATION WITH CRITICAL SOBOLV EXPONENT ON UNBOUNDED DOMAIN

被引：11
作者：
LI, GB [1 ]
机构：
[1] CHINESE ACAD SCI,INST MATH SCI,WUHAN 470071,PEOPLES R CHINA
来源：
ACTA MATHEMATICA SCIENTIA | 1994年 / 14卷 / 01期
关键词：
D O I：
10.1016/S0252-9602(18)30091-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the existence of a weak solution to the following elliptic equation with critical Sobolev exponent on unbounded domain OMEGA is proved [GRAPHICS] where N greater-than-or-equal-to 2 and OMEGA is a smooth domain in R(N), f(x,u) approximately Absolute value of u p.-1 at u = infinity with p. = Np/(N - p), g(x) is-an-element-of p'(OMEGA) with p' = p/(p - 1).
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页码：64 / 74
页数：11
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