Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods
Analysis of PDEs
2022-07-25 v1
Abstract
We consider positive solutions of a fractional Lane-Emden type problem in a bounded domain with Dirichlet conditions. We show that uniqueness and nondegeneracy hold for the asymptotically linear problem in general domains. Furthermore, we also prove that all the known uniqueness and nondegeneracy results in the local case extend to the nonlocal regime when the fractional parameter s is sufficiently close to 1.
Keywords
Cite
@article{arxiv.2207.11199,
title = {Uniqueness and nondegeneracy for Dirichlet fractional problems in bounded domains via asymptotic methods},
author = {Abdelrazek Dieb and Isabella Ianni and Alberto Saldaña},
journal= {arXiv preprint arXiv:2207.11199},
year = {2022}
}
Comments
22 pages