A one-dimensional symmetry result for solutions of an integral equation of convolution type
Analysis of PDEs
2015-06-02 v1
Abstract
We consider an integral equation in the plane, in which the leading operator is of convolution type, and we prove that monotone (or stable) solutions are necessarily one-dimensional.
Keywords
Cite
@article{arxiv.1506.00109,
title = {A one-dimensional symmetry result for solutions of an integral equation of convolution type},
author = {François Hamel and Enrico Valdinoci},
journal= {arXiv preprint arXiv:1506.00109},
year = {2015}
}