In this paper we study the asymptotics of the functional F() = R f(x)d(x)pdx, where d is the distance function to , among all connected compact sets of given length, when the prescribed length tends to inßnity. After properly scaling, we prove the existence of a È-limit in the space of probability measures, thus retrieving information on the asymptotics of minimal sequences.
Gamma-convergence for the irrigation problem / Mosconi, S; Tilli, Paolo. - In: JOURNAL OF CONVEX ANALYSIS. - ISSN 0944-6532. - 12:(2005), pp. 145-158.
Gamma-convergence for the irrigation problem
TILLI, PAOLO
2005
Abstract
In this paper we study the asymptotics of the functional F() = R f(x)d(x)pdx, where d is the distance function to , among all connected compact sets of given length, when the prescribed length tends to inßnity. After properly scaling, we prove the existence of a È-limit in the space of probability measures, thus retrieving information on the asymptotics of minimal sequences.File in questo prodotto:
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