Optimal transportation networks as free Dirichlet regions for the Monge-Kantorovich problem

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 2, Issue 4, 2003, Pages 631-678

  Buttazzo, Giuseppe ^a   Stepanov, Eugene ^a  

^a UNIVERSITY OF PISA   (Italy)

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[No Author keywords available]

Indexed keywords

EID: 27444441141     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

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4. G. Buttazzo - G. Bouchitté, Characterization of optimal shapes and masses through Monge-Kantorovich equation, J. European Math. Soc. 3 (2001), 139-168.
5. G. Buttazzo - E. Oudet - E. Stepanov, Optimal transportation problems with free Dirichlet regions, Progress Nonlinear Differential Equations Appl. 51 (2002), 41-65.
6. G. Buttazzo - A. Pratelli - S. Solimini - E. Stepanov, Mass transportation and urban planning problems, forthcoming.
7. G. Buttazzo - E. Stepanov, On regularity of transport density in the Monge-Kantorovich problem, Preprint del Dipartimento di Matematica, Università di Pisa, 2001.
8. L. Caffarelli - M. Feldman - R. J. McCann, Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs, J. Amer. Math. Soc. 15 (2002), 1-206.
9. G. David - S. Semmes, “Analysis of and on uniformly rectifiable sets”, Vol. 38 of Math. Surveys Monographs. Amer. Math. Soc., Providence, RI, 1993.
10. C. Kuratowski, “Topologie”, Vol. 1, Pa´ nstwowe Wydawnictwo Naukowe, Warszawa, 1958, in French.