Work

Quantitative stability for weighted Hardy inequalities: Local and nonlocal cases

Year: 2026

Type: preprint

Abstract: We establish quantitative stability estimates for weighted Hardy inequalities in the local and fractional settings, showing that the Hardy deficit controls the distance of a normalized admissible function to the family of virtual extremizers. In the local case, for $p>1$, $α\in[0,1)$, $0

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.25952

Author: Sahu, Vivek

Institution: Indian Statistical Institute, Delhi Centre

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Arthritis National Research Foundation, National Research Foundation, Indian Statistical Institute

OpenAlex ID: W7214078809

Cites: 3

Cited by:

Related to: 10