On the moving plane method for nonlocal problems in bounded domains
Analysis of PDEs
2014-05-22 v1
Abstract
We consider a nonlocal problem involving the fractional laplacian and the Hardy potential, in bounded smooth domains. Exploiting the moving plane method and some weak and strong comparison principles, we deduce symmetry and monotonicity properties of positive solutions under zero Dirichlet boundary conditions.
Cite
@article{arxiv.1405.5402,
title = {On the moving plane method for nonlocal problems in bounded domains},
author = {Begoña Barrios and Luigi Montoro and Berardino Sciunzi},
journal= {arXiv preprint arXiv:1405.5402},
year = {2014}
}