The Monge problem in Wiener space

[1]  L. Pascale,et al.  The Monge problem in ${\mathbb R}^d$ , 2011 .

[2]  Fabio Cavalletti,et al.  Optimal Transport with Branching Distance Costs and the Obstacle Problem , 2011, SIAM J. Math. Anal..

[3]  S. Bianchini,et al.  The Monge Problem for Distance Cost in Geodesic Spaces , 2011, 1103.2796.

[4]  S. Bianchini,et al.  On the extremality, uniqueness and optimality of transference plans , 2009 .

[5]  L. Caravenna An existence result for the Monge problem in R^n with norm cost , 2009 .

[6]  C. Villani Optimal Transport: Old and New , 2008 .

[7]  Luigi Ambrosio,et al.  Existence of optimal transport maps for crystalline norms , 2004 .

[8]  A. Üstünel,et al.  Monge-Kantorovitch Measure Transportation and Monge-Ampère Equation on Wiener Space , 2004 .

[9]  Paolo Tilli,et al.  Topics on analysis in metric spaces , 2004 .

[10]  R. McCann,et al.  Monge's transport problem on a Riemannian manifold , 2001 .

[11]  N. Trudinger,et al.  On the Monge mass transfer problem , 2001 .

[12]  R. McCann,et al.  Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs , 2001 .

[13]  Shashi M. Srivastava,et al.  A Course on Borel Sets , 1998, Graduate texts in mathematics.

[14]  D. Larman A compact set of disjoint line segments in E 3 whose end set has positive measure , 1971 .

[15]  Fabio Cavalletti A STRATEGY FOR NON-STRICTLY CONVEX DISTANCE TRANSPORT COST AND THE OBSTACLE PROBLEM , 2010 .

[16]  L. Pascale,et al.  THE MONGE PROBLEM IN R , 2010 .

[17]  L. Caravenna AN EXISTENCE RESULT FOR THE MONGE PROBLEM IN n WITH NORM COST FUNCTIONS , 2009 .

[18]  Cédric Villani,et al.  Stability of optimal transport , 2009 .

[19]  L. Ambrosio,et al.  Gradient Flows: In Metric Spaces and in the Space of Probability Measures , 2005 .

[20]  L. Ambrosio,et al.  Existence and stability results in the L 1 theory of optimal transportation , 2003 .

[21]  L. Evans,et al.  Differential equations methods for the Monge-Kantorovich mass transfer problem , 1999 .

[22]  L. Evans Partial Differential Equations and Monge-Kantorovich Mass Transfer , 1997 .