The equilibrium measure for an anisotropic nonlocal energy

DOI10.1007/s00526-021-01928-4zbMath1469.31005arXiv1907.00417OpenAlexW3095832360WikidataQ115386789 ScholiaQ115386789MaRDI QIDQ2029891

Joan Mateu, Maria Giovanna Mora, Joan Verdera, Luca Rondi, José Antonio Carrillo, Lucia Scardia

Publication date: 4 June 2021

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.00417

zbMATH Keywords

probability measuresminimisersanisotropic nonlocal energies

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) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (7)

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 ⋮ Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D ⋮ Explicit minimizers of some non-local anisotropic energies: a short proof ⋮ Equilibrium measure for a nonlocal dislocation energy with physical confinement ⋮ From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials

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