The Multi-marginal Monge Problem and an application to metasurfaces
Abstract
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.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Calculus of Variations and Partial Differential Equations
- Volume
- 65
- Issue
- 5
- Publication date
- 21 April 2026
- Language
- EN