Partitions with prescribed mean curvatures |
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| Authors: | Gian Paolo Leonardi |
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| Affiliation: | (1) Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050 Povo–Trento, ITALY. e-mail: gippo@science.unitn.it., IT |
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| Abstract: | We consider a certain variational problem on Caccioppoli partitions with countably many components, which models immiscible fluids as well as variational image segmentation, and generalizes the well-known problem with prescribed mean curvature. We prove existence and regularity results, and finally show some explicit examples of minimizers. Received: 7 June 2001 / Revisied version: 8 October 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 49Q20 |
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