Existence of minimizers for interaction energies with external potentials

2025/09/10 by Shu, Ruiwen
#31B15 #42B10 #49K20 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2509.08761

Abstract

In this paper we study the existence of minimizers for interaction energies with the presence of external potentials. We consider a class of subharmonic interaction potentials, which include the Riesz potentials |\bf x|^-s, max\0,d-2\

Citations

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Related

• A family of explicit minimizers for interaction energies
• Explicit minimisers for anisotropic Riesz energies
• Minimizers of 3D anisotropic interaction energies
• Bounds and Limiting Minimizers for a Family of Interaction Energies
• Uniqueness and characterization of local minimizers for the interaction energy with mildly repulsive potentials