Best constants for higher-order Rellich inequalities in $L^p(\Omega)$
Analysis of PDEs
2007-05-23 v2 Spectral Theory
Abstract
We obtain a series improvement to higher-order -Rellich inequalities on a Riemannian manifold . The improvement is shown to be sharp as each new term of the series is added.
Cite
@article{arxiv.math/0604291,
title = {Best constants for higher-order Rellich inequalities in $L^p(\Omega)$},
author = {G. Barbatis},
journal= {arXiv preprint arXiv:math/0604291},
year = {2007}
}
Comments
Slightly revised. To appear in Math. Z. 19 pages