Explicit minimisers for anisotropic Coulomb energies in 3D
From MaRDI portal
Publication:6065306
DOI10.1016/j.aim.2023.109333zbMath1528.31001arXiv2210.06797MaRDI QIDQ6065306
Luca Rondi, Maria Giovanna Mora, Lucia Scardia, Joan Mateu, Joan Verdera
Publication date: 14 November 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.06797
Optimality conditions for problems involving partial differential equations (49K20) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Dimensionality of local minimizers of the interaction energy
- Characteristic vectors of bordered matrices with infinite dimensions
- Extra cancellation of even Calderón-Zygmund operators and quasiconformal mappings
- The equilibrium measure for an anisotropic nonlocal energy
- A maximum-principle approach to the minimisation of a nonlocal dislocation energy
- Characterization of Sobolev spaces on the sphere
- On rotating doubly connected vortices
- The ellipse law: Kirchhoff meets dislocations
- Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics
- Existence of ground states of nonlocal-interaction energies
- Existence of compactly supported global minimisers for the interaction energy
- Threshold condensation to singular support for a Riesz equilibrium problem
- Swarm dynamics and equilibria for a nonlocal aggregation model
- The Equilibrium Measure for a Nonlocal Dislocation Energy
- Explicit minimizers of some non-local anisotropic energies: a short proof
- Spherical Harmonics in p Dimensions
- Energy minimisers of perturbed dislocation energies
- Stability of Ellipsoids as the Energy Minimizers of Perturbed Coulomb Energies
This page was built for publication: Explicit minimisers for anisotropic Coulomb energies in 3D
