Work

A Lower Bound for the Weighted Hardy Constant for Domains Satisfying a Uniform Exterior Cone Condition

Year: 2025

Type: article

Abstract: We consider weighted Hardy inequalities involving the distance function to the boundary of a domain in the N -dimensional Euclidean space with nonempty boundary. We give a lower bound for the corresponding best Hardy constant for a domain satisfying a uniform exterior cone condition. This lower bound depends on the aperture of the corresponding infinite circular cone.

Source: Journal of Geometric Analysis

DOI: 10.1007/s12220-025-01971-z

Authors: Ujjal Das, Yehuda Pinchover

Institution: Technion – Israel Institute of Technology

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funders: Israel Academy of Sciences and Humanities, Israel Science Foundation, Technion-Israel Institute of Technology