Optimal Rellich-Sobolev constants and their extremals
Analysis of PDEs
2014-01-28 v3
Abstract
We prove that extremals for second order Rellich-Sobolev inequalities have constant sign. Then we show that the optimal constants in Rellich-Sobolev inequalities on a bounded domain {\Omega} and under Navier boundary conditions do not depend on {\Omega}
Keywords
Cite
@article{arxiv.1307.7394,
title = {Optimal Rellich-Sobolev constants and their extremals},
author = {Roberta Musina},
journal= {arXiv preprint arXiv:1307.7394},
year = {2014}
}
Comments
To appear in Differential and Integral Equations