Work

A comparison method for the fractional Laplacian and applications

Year: 2024

Type: article

Abstract: 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.

Source: Advances in Mathematics

DOI: 10.1016/j.aim.2024.109901

Authors: Alireza Ataei, Alireza Tavakoli

Institutions: Uppsala University, KTH Royal Institute of Technology

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,510

Funders: Vetenskapsrådet, Uppsala Universitet