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The Multi-marginal Monge Problem and an application to metasurfaces

Year: 2026

Type: article

Abstract: This paper studies the multi-marginal Monge problem in the setting of compact metric spaces proving existence and uniqueness of solutions when the cost function is Lipschitz. We apply the results obtained to solve an optics problem involving metalenses, that is, we design a refracting-reflecting metalens that preserves given energy distributions.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-026-03332-2

Authors: Irem Altiner, Cristian E. Gutiérrez

Institutions: Arizona State University, Temple University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

OpenAlex ID: W4414754952

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