-
1
-
-
10044247612
-
Lecture notes on optimal transportation problems
-
Lecture Notes in Math, Springer, Berlin, Zbl 1047.35001 MR 2011032
-
Ambrosio, L.: Lecture notes on optimal transportation problems. In: Mathematical Aspects of Evolving Interfaces (Funchal, 2000), Lecture Notes in Math. 1812, Springer, Berlin, 1-52 (2003) Zbl 1047.35001 MR 2011032
-
(2003)
Mathematical Aspects of Evolving Interfaces (Funchal, 2000)
, vol.1812
, pp. 1-52
-
-
Ambrosio, L.1
-
2
-
-
10044256416
-
Existence of optimal transport maps for crystalline norms
-
Zbl 1076.49022 MR 2096672
-
Ambrosio, L., Kirchheim, B., Pratelli, A.: Existence of optimal transport maps for crystalline norms. Duke Math. J. 125, 207-241 (2004) Zbl 1076.49022 MR 2096672
-
(2004)
Duke Math. J.
, vol.125
, pp. 207-241
-
-
Ambrosio, L.1
Kirchheim, B.2
Pratelli, A.3
-
3
-
-
10044286348
-
1tpheory of optimal transportation
-
Lecture Notes in Math, Springer, Berlin, Zbl 1065.49026 MR 2006307
-
1tpheory of optimal transportation. In: Optimal Transportation and Applications (Martina Franca, 2001), Lecture Notes in Math. 1813, Springer, Berlin, 123-160 (2003) Zbl 1065.49026 MR 2006307
-
(2003)
Optimal Transportation and Applications (Martina Franca, 2001)
, vol.1813
, pp. 123-160
-
-
Ambrosio, L.1
Pratelli, A.2
-
4
-
-
0001482683
-
Asymptotic development by Γ-convergence
-
Zbl 0780.49011 MR 1202527
-
Anzellotti, G., Baldo, S.: Asymptotic development by Γ-convergence. Appl. Math. Optim. 27, 105-123 (1993) Zbl 0780.49011 MR 1202527
-
(1993)
Appl. Math. Optim.
, vol.27
, pp. 105-123
-
-
Anzellotti, G.1
Baldo, S.2
-
5
-
-
0030303862
-
Viscosity solutions of minimization problems
-
Zbl 0859.65065 MR 1402205
-
Attouch, H.: Viscosity solutions of minimization problems. SIAM J. Optim. 6, 769-806 (1996) Zbl 0859.65065 MR 1402205
-
(1996)
SIAM J. Optim.
, vol.6
, pp. 769-806
-
-
Attouch, H.1
-
6
-
-
0034407460
-
A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
-
Zbl 0968.76069 MR 1738163
-
Benamou, J. D., Brenier, Y.: A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem. Numer. Math. 84, 375-393 (2000) Zbl 0968.76069 MR 1738163
-
(2000)
Numer. Math.
, vol.84
, pp. 375-393
-
-
Benamou, J.D.1
Brenier, Y.2
-
7
-
-
34247226125
-
On the Euler-Lagrange equation for a variational problem
-
Zbl 1123.49001 MR 2276421
-
Bianchini, S.: On the Euler-Lagrange equation for a variational problem. Discrete Contin. Dynam. Systems 17, 449-480 (2007) Zbl 1123.49001 MR 2276421
-
(2007)
Discrete Contin. Dynam. Systems
, vol.17
, pp. 449-480
-
-
Bianchini, S.1
-
8
-
-
77949547709
-
On the extremality, uniqueness and optimality of transference plans
-
MR 2582736
-
Bianchini, S., Caravenna, L.: On the extremality, uniqueness and optimality of transference plans. Bull. Inst. Math. Acad. Sin. (N. S.) 4, 353-454 (2009) MR 2582736
-
(2009)
Bull. Inst. Math. Acad. Sin. (N. S.)
, vol.4
, pp. 353-454
-
-
Bianchini, S.1
Caravenna, L.2
-
9
-
-
77956967347
-
On the Euler-Lagrange equation for a variational problem: The general case II
-
Bianchini, S., Gloyer, M.: On the Euler-Lagrange equation for a variational problem: The general case II. Preprint SISSA (2008); http://digitallibrary.sissa.it/index.jsp
-
(2008)
Preprint SISSA
-
-
Bianchini, S.1
Gloyer, M.2
-
10
-
-
0001510095
-
Characterization of optimal shapes and masses through Monge-Kantorovich equation
-
Zbl 0982.49025 MR 1831873
-
Bouchitte, G., Buttazzo, G.: Characterization of optimal shapes and masses through Monge-Kantorovich equation. J. Eur. Math. Soc. 3, 139-168 (2001) Zbl 0982.49025 MR 1831873
-
(2001)
J. Eur. Math. Soc.
, vol.3
, pp. 139-168
-
-
Bouchitte, G.1
Buttazzo, G.2
-
11
-
-
0036001762
-
Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs
-
Zbl 1053.49032 MR 1862796
-
Caffarelli, L. A., Feldman, M., McCann, R. J.: Constructing optimal maps for Monge's transport problem as a limit of strictly convex costs. J. Amer. Math. Soc. 15, 1-26 (2002) Zbl 1053.49032 MR 1862796
-
(2002)
J. Amer. Math. Soc.
, vol.15
, pp. 1-26
-
-
Caffarelli, L.A.1
Feldman, M.2
McCann, R.J.3
-
13
-
-
61849176967
-
The ∞-Wasserstein distance: Local solutions and existence of optimal transport maps
-
Zbl 1158.49043 MR 2403310
-
Champion, T., De Pascale, L., Juutinen, P.: The ∞-Wasserstein distance: local solutions and existence of optimal transport maps. SIAM J. Math. Anal. 40, 1-20 (2008) Zbl 1158.49043 MR 2403310
-
(2008)
SIAM J. Math. Anal.
, vol.40
, pp. 1-20
-
-
Champion, T.1
De Pascale, L.2
Juutinen, P.3
-
14
-
-
2642564697
-
Integral estimates for transport densities
-
Zbl 1068.35170 MR 2038726
-
De Pascale, L., Evans, L. C., Pratelli, A.: Integral estimates for transport densities. Bull. London Math. Soc. 36, 383-396 (2004) Zbl 1068.35170 MR 2038726
-
(2004)
Bull. London Math. Soc.
, vol.36
, pp. 383-396
-
-
De Pascale, L.1
Evans, L.C.2
Pratelli, A.3
-
15
-
-
0036556947
-
Regularity properties for Monge transport density and for solutions of some shape optimization problem
-
Zbl 1032.49043 MR 1899447
-
De Pascale, L., Pratelli, A.: Regularity properties for Monge transport density and for solutions of some shape optimization problem. Calc. Var. Partial Differential Equations 14, 249-274 (2002) Zbl 1032.49043 MR 1899447
-
(2002)
Calc. Var. Partial Differential Equations
, vol.14
, pp. 249-274
-
-
De Pascale, L.1
Pratelli, A.2
-
16
-
-
12844272812
-
Interpolation and sharp summability for Monge transport density
-
MR 2111079
-
De Pascale, L., Pratelli, A.: Interpolation and sharp summability for Monge transport density. ESAIM Control Optim. Calc. Var. 10, 549-552 (2004) MR 2111079
-
(2004)
ESAIM Control Optim. Calc. Var
, vol.10
, pp. 549-552
-
-
De Pascale, L.1
Pratelli, A.2
-
17
-
-
0032622583
-
Differential equations methods for the Monge-Kantorovich mass transfer problem
-
Zbl 0920.49004 MR 1464149
-
Evans, L. C., Gangbo, W.: Differential equations methods for the Monge-Kantorovich mass transfer problem. Mem. Amer. Math. Soc. 137, no. 653 (1999) Zbl 0920.49004 MR 1464149
-
(1999)
Mem. Amer. Math. Soc.
, vol.137
, Issue.653
-
-
Evans, L.C.1
Gangbo, W.2
-
18
-
-
0001103156
-
The geometry of optimal transportation
-
Zbl 0887.49017 MR 1440931
-
Gangbo, W., McCann, R. J.: The geometry of optimal transportation. Acta Math. 177, 113-161 (1996) Zbl 0887.49017 MR 1440931
-
(1996)
Acta Math.
, vol.177
, pp. 113-161
-
-
Gangbo, W.1
McCann, R.J.2
-
20
-
-
77956959563
-
-
reprinted in Management Sci, Zbl 0061.09705 MR 0009619
-
reprinted in Management Sci. 5, 1-4 (1958) Zbl 0061.09705 MR 0009619
-
(1958)
, vol.5
, pp. 1-4
-
-
-
21
-
-
0001010507
-
On a problem of Monge
-
Russian Zbl 1080.49508 MR 2117877
-
Kantorovich, L. V.: On a problem of Monge. Uspekhi Mat. Nauk. 3, 225-226 (1948) (in Russian) Zbl 1080.49508 MR 2117877
-
(1948)
Uspekhi Mat. Nauk
, vol.3
, pp. 225-226
-
-
Kantorovich, L.V.1
-
23
-
-
38149057384
-
On the sufficiency of c-cyclical monotonicity for optimality of transport plans
-
Zbl pre05236319 MR 2369050
-
Pratelli, A.: On the sufficiency of c-cyclical monotonicity for optimality of transport plans. Math. Z. 258, 677-690 (2008) Zbl pre05236319 MR 2369050
-
(2008)
Math. Z.
, vol.258
, pp. 677-690
-
-
Pratelli, A.1
-
25
-
-
0001114165
-
Optimal solutions of multivariate coupling problems
-
Zbl 0844.62047 MR 1360058
-
Rüschendorf, L.: Optimal solutions of multivariate coupling problems. Appl. Math. (Warsaw) 23, 325-338 (1995) Zbl 0844.62047 MR 1360058
-
(1995)
Appl. Math. (Warsaw)
, vol.23
, pp. 325-338
-
-
Rüschendorf, L.1
-
26
-
-
0030584978
-
On c-optimal random variables
-
Zbl 0847.62046 MR 1395577
-
Rüschendorf, L.: On c-optimal random variables. Statist. Probab. Lett. 27, 267-270 (1996) Zbl 0847.62046 MR 1395577
-
(1996)
Statist. Probab. Lett.
, vol.27
, pp. 267-270
-
-
Rüschendorf, L.1
-
27
-
-
59949083581
-
Characterization of optimal transport plans for the Monge-Kantorovich problem
-
Zbl 1165.49015 MR 2448572
-
Schachermayer, W., Teichmann, J.: Characterization of optimal transport plans for the Monge-Kantorovich problem. Proc. Amer. Math. Soc. 137, 519-529 (2009) Zbl 1165.49015 MR 2448572
-
(2009)
Proc. Amer. Math. Soc.
, vol.137
, pp. 519-529
-
-
Schachermayer, W.1
Teichmann, J.2
-
28
-
-
0003299763
-
Geometric problems in the theory of infinite-dimensional probability distributions
-
1-178, Zbl 0409.60005 MR 0530375
-
Sudakov, V. N.: Geometric problems in the theory of infinite-dimensional probability distributions. Proc. Steklov Inst. Math. 1979, no. 2, i-v, 1-178. Zbl 0409.60005 MR 0530375
-
(1979)
Proc. Steklov Inst. Math.
, Issue.2
-
-
Sudakov, V.N.1
-
30
-
-
1542342359
-
Topics in optimal transportation
-
Amer. Math. Soc, Zbl 1106.90001 MR 1964483
-
Villani, C.: Topics in Optimal Transportation. Grad. Stud. Math. 58, Amer. Math. Soc. (2003) Zbl 1106.90001 MR 1964483
-
(2003)
Grad. Stud. Math.
, vol.58
-
-
Villani, C.1
-
31
-
-
59949100627
-
Optimal Transport, Old and New
-
Springer, Berlin, Zbl 1156.53003 MR 2459454
-
Villani, C.: Optimal Transport, Old and New. Grundlehren Math. Wiss. 338, Springer, Berlin (2009) Zbl 1156.53003 MR 2459454
-
(2009)
Grundlehren Math. Wiss
, vol.338
-
-
Villani, C.1
|