@article{RSMUP_2007__117__1_0, author = {Devillanova, Giuseppe and Solimini, Sergio}, title = {On the dimension of an irrigable measure}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, volume = {117}, year = {2007}, pages = {1-49}, mrnumber = {2351784}, zbl = {1165.28302}, language = {en}, url = {http://dml.mathdoc.fr/item/RSMUP_2007__117__1_0} }
Devillanova, Giuseppe; Solimini, Sergio. On the dimension of an irrigable measure. Rendiconti del Seminario Matematico della Università di Padova, Tome 117 (2007) pp. 1-49. http://gdmltest.u-ga.fr/item/RSMUP_2007__117__1_0/
[1] Lecture Notes on Optimal Transport Problems, Scuola Normale Superiore, Pisa, 2000. | MR 2011032 | Zbl 1047.35001
,[2] Irrigation, Proc. of the Int. Workshop on variational methods for discontinuous structures, with applications to image segmentation and continuum mechanics. Edited by Gianni Dal Maso and Franco Tomarelli, July 4-6, Villa Erba, Cernobbio (Como), Italy, 2001. | MR 2197839 | Zbl 1046.76038
- ,[3] Elementary properties of optimal irrigation patterns, Calculus of Variations, to appear. | MR 2290327 | Zbl 1111.35093
- ,[4] A variational model of irrigation patterns Interfaces and Free Boundaries 5 (2003), pp. 391-415 | MR 2031464 | Zbl 1057.35076
- - ,[5] Partial Differential Equations and Monge-Kantorovich Mass Transfer, Current Developments in Mathematics, Int. Press, Boston, MA, 1999. | MR 1698853 | Zbl 0954.35011
,[6] Measure Theory and Fine Properties of Functions, CRC Press, 1992. | MR 1158660 | Zbl 0804.28001
- ,[7] On the transfer of masses, Dokl. Acad. Nauk. USSR, 37 (1942), pp. 7-8.
,[8] Geometry of Sets and Measures in Euclidean Spaces Fractals and rectificability (1995), Gambridge University Press. | MR 1333890 | Zbl 0819.28004
,[9] Mémoire sur la théorie des déblais et de remblais, Historie de l'Académie Royale des Sciences de Paris (1781), pp. 666-704.
,[10] Optimal paths related to transport problems, Commun. Contemp. Math 5, (2003), pp. 251-279. | MR 1966259 | Zbl 1032.90003
,