An isoperimetric problem with a Coulombic repulsion and attractive term

DOI10.1051/cocv/2018008zbMath1444.49016OpenAlexW2786348960MaRDI QIDQ5107917

Domenico Angelo La Manna

Publication date: 29 April 2020

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

Full work available at URL: https://semanticscholar.org/paper/bc035a20d044c701439c66bfc1174808dca38ceb

zbMATH Keywords

energy functionalisoperimetric inequalitycoulombic potential

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items

Nonexistence of minimizers for a nonlocal perimeter with a Riesz and a background potential ⋮ Some weighted isoperimetric inequalities in quantitative form ⋮ A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem

Cites Work

• Nonexistence of large nuclei in the liquid drop model
• Minimality via second variation for a nonlocal isoperimetric problem
• The quantitative isoperimetric inequality and related topics
• A selection principle for the sharp quantitative isoperimetric inequality
• Isoperimetry and stability properties of balls with respect to nonlocal energies
• On an isoperimetric problem with a competing non-local term: quantitative results
• Faber-Krahn inequalities in sharp quantitative form
• A sharp quantitative isoperimetric inequality in higher codimension
• A strong form of the quantitative isoperimetric inequality
• Sets of Finite Perimeter and Geometric Variational Problems
• Nonexistence of a Minimizer for Thomas-Fermi-Dirac-von Weizsäcker Model
• Stability in the Isoperimetric Problem for Convex or Nearly Spherical Domains in R n
• Isoperimetric problem with a coulomb repulsive term
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: An isoperimetric problem with a Coulombic repulsion and attractive term