A comparison method for the fractional Laplacian and applications

被引：1

作者：

Ataei, Alireza ^{[1
]}

Tavakoli, Alireza ^{[2
]}

机构：

[1] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

[2] KTH Royal Inst Technol, Dept Math, Stockholm, Sweden

来源：

ADVANCES IN MATHEMATICS | 2024年 / 457卷

关键词：

Nonlinear eigenvalue problems; Hopf's Lemma; Fractional Laplacian; STRONG MAXIMUM PRINCIPLE; EQUATIONS; REGULARITY;

D O I：

10.1016/j.aim.2024.109901

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the boundary behavior of solutions to fractional Laplacian. As the first result, the isolation of the first eigenvalue of the fractional Lane-Emden equation is proved in the bounded open sets with Wiener regular boundary. Then, a generalized Hopf's lemma and a global boundary Harnack inequality are proved for the fractional Laplacian. (c) 2024 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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页数：29

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