Quantitative Stability Estimate of the Hardy-Littlewood Functional Under Constraints
Hichem Hajaiej
TL;DR
This paper proves the uniqueness of maximizers and provides a quantitative stability estimate for a Hardy-Littlewood type functional under constraints, advancing understanding of its stability properties.
Contribution
It introduces a new quantitative stability estimate for the Hardy-Littlewood functional, demonstrating the uniqueness of its maximizers under specific constraints.
Findings
Maximizers of the functional are unique.
A quantitative stability estimate is established.
The results improve understanding of the functional's stability.
Abstract
We prove the uniqueness of the maximizers of a Hardy-Littlewood type functional under constraints. We also establish a quantitative stability estimate. Introduction
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Taxonomy
TopicsNonlinear Partial Differential Equations · Advanced Mathematical Physics Problems · Advanced Mathematical Modeling in Engineering