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On stability of
capillary surfaces in a ball
Antonio Ros and Rabah Souam |
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Vol. 178 (1997), No. 2, 345–361
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Abstract |
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We study stable capillary surfaces in a euclidean ball in the absence of gravity. We prove, in particular, that such a surface must be a flat disk or a spherical cap if it has genus zero. We also prove that its genus is at most one and it has at most three connected boundary components in case it is minimal. Some of our results also hold in ℍ3 and 𝕊3. |
Milestones
Received: 25 July 1995
Published: 1 April 1997
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Authors |
| Antonio Ros | |
| Depatamento de Geometría y
topología Universidad de Granada 18071 Granada Spain |
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| Rabah Souam | |
| Université Paris 7 UMR CNRS C9994-Géométrie et Dynamique 2 place Jussieu 75251 Paris cedex 05 France |
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