Stability of anisotropic capillary surfaces between two parallel planes |
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| Authors: | Miyuki Koiso Bennett Palmer |
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| Institution: | (1) Department of Mathematics, Nara Women's University, Nara 630-8506, Japan;(2) Department of Mathematics, Idaho State University, Pocatello, ID 83209, USA |
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| Abstract: | We study the stability of capillary surfaces without gravity for anisotropic free surface energies. For a large class of rotationally
symmetric energy functionals, it is shown that the only stable equilibria supported on parallel planes are either cylinders
or a part of the Wulff shape.
The first author is partially supported by Grant-in-Aid for Scientific Research (C) No. 16540195 of the Japan Society for
the Promotion of Science. |
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