Article thumbnail

On the Sobolev and Hardy constants for the fractional Navier Laplacian

By Roberta Musina and Alexander I. Nazarov

Abstract

We prove the coincidence of the Sobolev and Hardy constants relative to the "Dirichlet" and "Navier" fractional Laplacians of any real order $m\in(0,\frac{n}{2})$ over bounded domains in $\mathbb R^n$.Comment: 12 page

Topics: Mathematics - Analysis of PDEs, 35R11, 35A23, 35B50
Year: 2014
OAI identifier: oai:arXiv.org:1408.3946

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.

Suggested articles