Liouville type theorems for nonlinear elliptic equations and systems involving fractional Laplacian in the half space

被引：62
|
作者：
Quaas, Alexander [1 ]
Xia, Aliang [1 ]
机构：
[1] Univ Tecn Fedrico Santa Maria, Dept Matemat, Valparaiso, Chile
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 52卷 / 3-4期
关键词：
QUALITATIVE PROPERTIES; POSITIVE SOLUTIONS; NONEXISTENCE; REGULARITY; INEQUALITY; EXISTENCE;
D O I：
10.1007/s00526-014-0727-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the nonexistence of solutions for fractional elliptic problems via a monotonicity result which obtained by the method of moving planes with an improved Aleksandrov-Bakelman-Pucci type estimate for the fractional Laplacian in unbounded domain.
引用
收藏
页码：641 / 659
页数：19
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