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On the Uniqueness of Capillary Surfaces

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Variational Methods for Free Surface Interfaces

Abstract

Let Ω ⊂ ℝn. Consider the equation of prescribed mean curvature

$$\text{div}\,Tu = H\, \text{in}\,\Omega$$
(1)

where

$$Tu = \frac{Du}{\sqrt{1 + |Du|^2}}$$
(2)

and Du is the gradient of u.

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References

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Authors
  1. Luen-fai Tam
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Editor information

Editors and Affiliations

  1. Lawrence Berkeley Laboratory and Department of Mathematics, University of California, Berkeley, California, 94720, USA

    Paul Concus

  2. Department of Mathematics, Stanford University, Stanford, California, 94305, USA

    Robert Finn

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© 1987 Springer-Verlag New York Inc.

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Tam, Lf. (1987). On the Uniqueness of Capillary Surfaces. In: Concus, P., Finn, R. (eds) Variational Methods for Free Surface Interfaces. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4656-5_11

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  • DOI: https://doi.org/10.1007/978-1-4612-4656-5_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-9101-5

  • Online ISBN: 978-1-4612-4656-5

  • eBook Packages: Springer Book Archive

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