H^s versus C^0-weighted minimizers
Analysis of PDEs
2014-05-14 v2
Abstract
We study a class of semi-linear problems involving the fractional Laplacian under subcritical or critical growth assumptions. We prove that, for the corresponding functional, local minimizers with respect to a C^0-topology weighted with a suitable power of the distance from the boundary are actually local minimizers in the natural H^s-topology.
Keywords
Cite
@article{arxiv.1404.6280,
title = {H^s versus C^0-weighted minimizers},
author = {Antonio Iannizzotto and Sunra Mosconi and Marco Squassina},
journal= {arXiv preprint arXiv:1404.6280},
year = {2014}
}
Comments
15 pages