We consider a certain variational problem on Caccioppoli partitions withcountably many components, which models immiscible fluids as well as variationalimage segmentation, and generalizes the well-known problem with prescribedmean curvature. We prove existence and regularity results, and finallyshow some explicit examples of minimizers.
Partitions with prescribed mean curvatures / Leonardi, Gian Paolo. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 107:1(2002), pp. 111-133. [10.1007/s002290100230]
Partitions with prescribed mean curvatures
LEONARDI, Gian Paolo
2002
Abstract
We consider a certain variational problem on Caccioppoli partitions withcountably many components, which models immiscible fluids as well as variationalimage segmentation, and generalizes the well-known problem with prescribedmean curvature. We prove existence and regularity results, and finallyshow some explicit examples of minimizers.
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