A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem
From MaRDI portal
Publication:5024339
DOI10.1051/cocv/2021106zbMath1481.49041arXiv2105.08012OpenAlexW3205643216WikidataQ114011515 ScholiaQ114011515MaRDI QIDQ5024339
Publication date: 31 January 2022
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.08012
Riesz potentialquantitative isoperimetric inequalityfractional perimeterRiesz rearrangement inequality
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonexistence of large nuclei in the liquid drop model
- Maximum and minimum sets for some geometric mean values
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The quantitative isoperimetric inequality and related topics
- Geometric stability of the Coulomb energy
- On minimizers of interaction functionals with competing attractive and repulsive potentials
- Weyl and Marchaud derivatives: a forgotten history
- The inversion of fractional integrals on a sphere
- Cases of equality in the Riesz rearrangement inequality
- A selection principle for the sharp quantitative isoperimetric inequality
- Isoperimetry and stability properties of balls with respect to nonlocal energies
- Existence and nonexistence in the liquid drop model
- The asymptotic expansion of a ratio of gamma functions
- On an Isoperimetric Problem with a Competing Nonlocal Term I: The Planar Case
- Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model
- Local and Global Minimality Results for a Nonlocal Isoperimetric Problem on $\mathbb{R}^N$
- On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case
- Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
- Small Volume-Fraction Limit of the Diblock Copolymer Problem: II. Diffuse-Interface Functional
- A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model
- An Old Problem Resurfaces Nonlocally: Gamow's Liquid Drops Inspire Today's Research and Applications
- The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory
- Regularity Theory for Local and Nonlocal Minimal Surfaces: An Overview
- Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
- Nonlocal Shape Optimization via Interactions of Attractive and Repulsive Potentials
- An isoperimetric problem with a Coulombic repulsion and attractive term
- Proof of spherical flocking based on quantitative rearrangement inequalities
- Isoperimetric problem with a coulomb repulsive term
- Sharp stability for the Riesz potential
- Function Spaces
This page was built for publication: A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem