Stability of solutions for nonlocal problems
Analysis of PDEs
2019-10-14 v1
Abstract
In this paper we deal with the stability of solutions of fractional Laplace problems with nonlinear sources when the fractional parameter goes to 1. We prove a general convergence result for general weak solutions which is applied to study the convergence of ground state solutions of fractional problems in bounded and unbounded domains as goes to 1. Moreover, our result applies to treat the stability of fractional eigenvalues as goes to 1.
Cite
@article{arxiv.1910.04815,
title = {Stability of solutions for nonlocal problems},
author = {Julián Fernández Bonder and Ariel M. Salort},
journal= {arXiv preprint arXiv:1910.04815},
year = {2019}
}
Comments
13 pages