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- W2945663656 abstract "In this paper we prove that a capillary minimal surface outside the unit ball in $mathbb {R}^3$ with one embedded end and finite total curvature must be either part of the plane or part of the catenoid. We also prove that a capillary minimal surface outside the unit ball with one end asymptotic to the end of the Enneper's surface and finite total curvature cannot exist if the flux vector vanishes on the first homology calss of the surface. Furthermore, we prove that a capillary minimal surface outside the convex domain bounded by several spheres with one embedded end and finite total curvature must be part of the plane." @default.
- W2945663656 created "2019-05-29" @default.
- W2945663656 creator A5084631483 @default.
- W2945663656 date "2019-05-20" @default.
- W2945663656 modified "2023-09-27" @default.
- W2945663656 title "Characterizations of the plane and the catenoid as capillary surfaces" @default.
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