Weighted Hardy-Sobolev type inequalities with boundary terms
Analysis of PDEs
2026-02-10 v1
Abstract
In this paper we establish a new class of weighted Hardy-Sobolev type inequalities under mild monotonicity assumptions on the weight function. As a consequence, we derive the corresponding weighted Sobolev and trace-type inequalities. These results play an important role in the analysis of elliptic problems with Neumann or Robin boundary conditions in unbounded domains.
Cite
@article{arxiv.2602.08702,
title = {Weighted Hardy-Sobolev type inequalities with boundary terms},
author = {João Marcos do Ò and Marcelo Furtado and Everaldo Medeiros and Jesse Ratzkin},
journal= {arXiv preprint arXiv:2602.08702},
year = {2026}
}
Comments
22 pages