Sharp stability for the Riesz potential

DOI10.1051/cocv/2020024zbMath1473.26036arXiv1909.11441OpenAlexW3022304781MaRDI QIDQ5854406

Aldo Pratelli, Nicola Fusco

Publication date: 17 March 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.11441

zbMATH Keywords

optimality conditionssharp inequalitiesRiesz inequalities

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Other analytical inequalities (26D20)

Related Items (9)

Some minimization problems for mean field models with competing forces ⋮ Nonlocal energies of convex bodies and their log-Minkowski problems ⋮ Minimality of polytopes in a nonlocal anisotropic isoperimetric problem ⋮ Optimization problems with non-local repulsion ⋮ Proof of spherical flocking based on quantitative rearrangement inequalities ⋮ A spectral shape optimization problem with a nonlocal competing term ⋮ Quantitative lower bounds to the Euclidean and the Gaussian Cheeger constants ⋮ A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem ⋮ Sharp stability for the interaction energy

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• Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n

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