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

Roberto van der Putten — 2010

Commentationes Mathematicae Universitatis Carolinae

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.

Existence of minimizers and lower semicontinuity of integral functionals in the vectorial case

Silvia Bertirotti; Roberto Van der Putten — 1999

Rendiconti del Seminario Matematico della Università di Padova

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