Work

Maximizers of nonlocal interactions of Wasserstein Type

Year: 2024

Type: article

Abstract: \nWe characterize the maximizers of a functional that involves the minimization of the Wasserstein distance between sets of equal volume. We prove that balls are the only maximizers by combining a symmetrization-by-reflection technique with the uniqueness of optimal transport plans. Further, in one dimension, we provide a sharp quantitative refinement of this maximality result.\n

Source: Springer Link (Chiba Institute of Technology)

DOI: 10.1051/cocv/2024068/pdf

Authors: Almut Burchard, Davide Carazzato, Ihsan Topaloglu

Institutions: University of Toronto, Scuola Normale Superiore, Virginia Commonwealth University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Istituto Nazionale di Alta Matematica "Francesco Severi", Virginia Commonwealth University

Awards: G5339074417, G5456286744, Nonlocal Variational Problems from Physical and Biological Models