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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