Uniqueness and non uniqueness of optimal maps in mass transport problem with not strictly convex cost

Commentationes mathematicae Universitatis Carolinae

Roberto van der Putten¹ 

关键词: mass transport problem;    measurable selections;    degree theory;   

DOI  :  

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

In the setting of the optimal transportation problem we provide some conditions which ensure the existence and the uniqueness of the optimal map in the case of cost functions satisfying mild regularity hypothesis and no convexity or concavity assumptions.

【 授权许可】

CC BY