Rellich inequalities in bounded domains
Analysis of PDEs
2019-07-25 v1
Abstract
We find necessary and sufficient conditions for the validity of weighted Rellich inequalities in Lp for functions in bounded domains vanishing at the boundary. General operators like L = Delta+ c\|x|^2x nabla-b\|x|^2 are considered. Critical cases and remainder terms are also investigated.
Cite
@article{arxiv.1907.10341,
title = {Rellich inequalities in bounded domains},
author = {G. Metafune and L. Negro and M. Sobajima and C. Spina},
journal= {arXiv preprint arXiv:1907.10341},
year = {2019}
}