Optimal Hardy-weights for elliptic operators with mixed boundary conditions
Analysis of PDEs
2021-03-26 v1
Abstract
We construct families of optimal Hardy-weights for a subcritical linear second-order elliptic operator with degenerate mixed boundary conditions. By an optimal Hardy-weight for a subcritical operator we mean a nonzero nonnegative weight function such that is critical and null-critical with respect to . Our results rely on a recently developed criticality theory for positive solutions of the corresponding mixed boundary value problem.
Cite
@article{arxiv.2103.13979,
title = {Optimal Hardy-weights for elliptic operators with mixed boundary conditions},
author = {Yehuda Pinchover and Idan Versano},
journal= {arXiv preprint arXiv:2103.13979},
year = {2021}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:2008.03699