On the moving plane method for nonlocal problems in bounded domains

被引：24

作者：

Barrios, Begona ^{[1
]}

Montoro, Luigi ^{[2
]}

Sciunzi, Berardino ^{[2
]}

机构：

[1] Univ Autonoma Madrid, Dept Math, Madrid 28009, Spain

[2] Univ Calabria, Dipartimento Matemat & Informat, Ponte Pietro Bucci 31B, I-87036 Cosenza, Italy

来源：

JOURNAL D ANALYSE MATHEMATIQUE | 2018年 / 135卷 / 01期

关键词：

QUALITATIVE PROPERTIES; HARMONIC-FUNCTIONS; REGULARITY; SYMMETRY; OPERATORS; CONTINUITY; DIFFUSION; EQUATIONS; SOBOLEV; THEOREM;

D O I：

10.1007/s11854-018-0031-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a nonlocal problem involving the fractional Laplacian and the Hardy potential in bounded smooth domains. Exploiting the moving plane method and some weak and strong comparison principles, we deduce symmetry and monotonicity properties of positive solutions under zero Dirichlet boundary conditions.

引用

页码：37 / 57

页数：21

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