Weighted Hardy-Sobolev type inequalities with boundary terms

arXiv (Cornell University) 2026 Preprint Open access

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Authors: João Marcos Ó, Marcelo Fernandes Furtado, Everaldo S. Medeiros, Jesse Ratzkin
DOI: 10.48550/arxiv.2602.08702
Cited by: 0

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.

Fields of Study & Subjects

Nonlinear Partial Differential Equations Mathematical Inequalities and Applications Advanced Harmonic Analysis Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
9 February 2026
Language
EN
Document type
Preprint