Partial Geometric Regularity of Some Optimal Connected Transportation Networks

Author:

Stepanov E. O.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics,Statistics and Probability

Reference26 articles.

1. V. N. Sudakov, “Geometric problems of infinite-dimensional probability distributions” [in Russian], Tr. Mat. Institute AN SSSR 141, 1976.

2. L. Ambrosio, “Lecture Notes on Optimal Transport Problems”, In: Mathematical Aspects of Evolving Interfaces, Lect. Notes Math. 1812, Springer-Verlag, 2003, pp. 1–52.

3. L. C. Evans, “Partial differential equations and Monge-Kantorovich mass transfer”, In: Current Developments in Mathematics, Cambridge MA, 1997, pp. 65–126.

4. S. T. Rachev and L. Ruschendorf, Mass Transportation Problems. Vol. I Theory, Vol. II Applications, Berlin, Springer-Verlag, 1998.

5. G. Buttazzo, E. Oudet, and E. Stepanov, “Optimal transportation problems with free Dirichlet regions,” in: Progress in Nonlinear Diff. Equations and Their Applications 51, Birkhauser 2002, pp. 41–65.

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