Data di Pubblicazione:
2021
Citazione:
Collapsing and the convex hull property in a soap film capillarity model / D. King, F. Maggi, S. Stuvard. - In: ANNALES DE L INSTITUT HENRI POINCARÉ. ANALYSE NON LINÉAIRE. - ISSN 0294-1449. - 38:6(2021 Nov), pp. 1929-1941. [10.1016/j.anihpc.2021.02.005]
Abstract:
Soap films hanging from a wire frame are studied in the framework of capillarity theory. Minimizers in the corresponding variational problem are known to consist of positive volume regions with boundaries of constant mean curvature/pressure, possibly connected by "collapsed" minimal surfaces. We prove here that collapsing only occurs if the mean curvature/pressure of the bulky regions is negative, and that, when this last property holds, the whole soap film lies in the convex hull of its boundary wire frame.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
convex hull property; minimal surfaces; Plateau's problem
Elenco autori:
D. King, F. Maggi, S. Stuvard
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