NONEXISTENCE OF POSITIVE SOLUTIONS FOR POLYHARMONIC SYSTEMS IN R+N

被引：0
|
作者：
Guo, Yuxia [1 ]
Li, Bo [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2016年 / 15卷 / 03期
关键词：
Nonexistence; moving plane; polyharmonic systems; CONCENTRATION-COMPACTNESS PRINCIPLE; ELLIPTIC-EQUATIONS; CLASSIFICATION; CALCULUS; THEOREMS;
D O I：
10.3934/cpaa.2016.15.701
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the monotonicity and nonexistence of positive solutions for polyharmonic systems { (-Delta)(m)u = f(u, v) (-Delta)(m)v = g(u, v) in R-+(N). By using the Alexandrov-Serrin method of moving plane combined with integral inequalities and Sobolev's inequality in a narrow domain, we prove the mono tonicity of positive solutions for semilinear polyharmonic systems in R-+(N). As a result, the nonexistence for positive weak solutions to the system are obtained.
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页码：701 / 713
页数：13
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