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

页码：641 / 659

页数：19

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