On the uniqueness of capillary surfaces over an infinite strip (Q1902042)
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scientific article; zbMATH DE number 815790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the uniqueness of capillary surfaces over an infinite strip |
scientific article; zbMATH DE number 815790 |
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On the uniqueness of capillary surfaces over an infinite strip (English)
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14 November 1995
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In 1987, \textit{L.-F. Tam} [Indiana Univ. Math. J. 36, No. 1, 79-89 (1987; Zbl 0678.49037); Variational methods for free surface interfaces, Proc. Conf., Menlo Park/ Calif. 1985, 99-108 (1987; Zbl 0711.49060)]\ proved that the solution of the capillary surface equation without gravity over an infinite strip must be a rigid rotation of a cylinder. Here we give a simple proof for Tam's theorem and generalize his result.
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capillary surface equation
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