Monge–Kantorovich equation for degenerate Finsler metrics. (May 2021)

• Record Type: Journal Article
• Authors: Nguyen, Van Thanh
• Is Part Of: Nonlinear analysis. Volume 206(2021)
• Publication Date: 2021-05
• Subjects: 49J20 -- 49K20 -- 49Q22 -- 35Q93; Monge–Kantorovich equation -- Degenerate Finsler metric -- Kantorovich dual problem -- Minimal flow; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112247
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: The paper establishes that a generalization of Monge–Kantorovich equation gives rise to a necessary and sufficient optimality condition for the Kantorovich dual problem and minimal flow problem associated with a very degenerate Finsler metric without any assumption on coerciveness.