Shape optimization for nonlocal anisotropic energies

DOI10.1080/03605302.2024.2398451MaRDI QIDQ6627046

Maria Giovanna Mora, Riccardo Cristoferi, Lucia Scardia

Publication date: 29 October 2024

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Optimization of shapes other than minimal surfaces (49Q10)

Cites Work

• Remark on a nonlocal isoperimetric problem
• On minimizers of interaction functionals with competing attractive and repulsive potentials
• The ellipse law: Kirchhoff meets dislocations
• 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
• A Compactness Lemma and Its Application to the Existence of Minimizers for the Liquid Drop Model
• The Equilibrium Measure for a Nonlocal Dislocation Energy
• Nonlocal Shape Optimization via Interactions of Attractive and Repulsive Potentials
• A "liquid-solid" phase transition in a simple model for swarming, based on the "no flat-spots" theorem for subharmonic functions
• Proof of spherical flocking based on quantitative rearrangement inequalities
• Explicit minimisers for anisotropic Coulomb energies in 3D
• Global minimizers of a large class of anisotropic attractive‐repulsive interaction energies in 2D
• A note on some non-local variational problems
• Minimizers of 3D anisotropic interaction energies

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