CONSTANT BOUNDARY-VALUE PROBLEM FOR A QUASI-LINEAR ELLIPTIC SYSTEM

被引：12
|
作者：
SHEN, YT
YAN, SS
机构：
[1] Department of Applied Mathematics, South China University of Technology, Guangzhou
来源：
MANUSCRIPTA MATHEMATICA | 1993年 / 79卷 / 01期
关键词：
D O I：
10.1007/BF02568331
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the constant boundary value problem for a class of quasilinear elliptic systems. The existence of a nonconstant solution is proved by discussing the minimization problem for the relaxed energy. As a by-product, we show that generally the Pohozaev identity does not hold for H-1-weak solutions.
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页码：99 / 112
页数：14
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