Explicit minimizers of some non-local anisotropic energies: a short proof

DOI10.1070/IM9048zbMath1469.31006arXiv2003.13776MaRDI QIDQ4999407

Maria Giovanna Mora, Joan Mateu, Joan Verdera, Luca Rondi, Lucia Scardia

Publication date: 6 July 2021

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13776

zbMATH Keywords

maximum principlepotential theoryPlemelj formulanon-local interaction

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (3)

Explicit minimisers for anisotropic Coulomb energies in 3D ⋮ Energy minimisers of perturbed dislocation energies ⋮ Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The maximum principle and biharmonic functions
• The equilibrium measure for an anisotropic nonlocal energy
• A maximum-principle approach to the minimisation of a nonlocal dislocation energy
• On rotating doubly connected vortices
• The ellipse law: Kirchhoff meets dislocations
• The Equilibrium Measure for a Nonlocal Dislocation Energy
• Jump formulas for singular integrals and layer potentials on rectifiable sets

This page was built for publication: Explicit minimizers of some non-local anisotropic energies: a short proof