A rigidity result for nonlocal semilinear equations
Analysis of PDEs
2015-03-02 v2
Abstract
We consider a possibly anisotropic integro-differential semilinear equation, run by a nondecreasing and nontrivial nonlinearity. We prove that if the solution grows at infinity less than the order of the operator, then it must be constant.
Cite
@article{arxiv.1406.7223,
title = {A rigidity result for nonlocal semilinear equations},
author = {Alberto Farina and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1406.7223},
year = {2015}
}