Author:
Candau-Tilh Jules,Goldman Michael
Abstract
The aim of this paper is to prove the existence of minimizers for a variational problem involving the minimization under volume constraint of the sum of the perimeter and a non-local energy of Wasserstein type. This extends previous partial results to the full range of parameters. We also show that in the regime where the perimeter is dominant, the energy is uniquely minimized by balls.
Funder
Agence Nationale de la Recherche
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
3 articles.
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