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Stability of anisotropic capillary surfaces between two parallel planes

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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.

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Authors and Affiliations

  1. Department of Mathematics, Nara Women's University, Nara, 630-8506, Japan

    Miyuki Koiso

  2. Department of Mathematics, Idaho State University, Pocatello, ID, 83209, USA

    Bennett Palmer

Authors
  1. Miyuki Koiso
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  2. Bennett Palmer
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Corresponding author

Correspondence to Miyuki Koiso.

Additional information

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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Koiso, M., Palmer, B. Stability of anisotropic capillary surfaces between two parallel planes. Calc. Var. 25, 275–298 (2006). https://doi.org/10.1007/s00526-005-0336-7

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  • DOI: https://doi.org/10.1007/s00526-005-0336-7

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