Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization
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205_2014_Article_788.pdf
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Author(s)
Baer, Eric
Date Issued
August 2014
Journal
Archive for Rational Mechanics and Analysis
Publisher
Springer Berlin Heidelberg
Citation
Baer, Eric. “Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization.” Archive for Rational Mechanics and Analysis 215.2 (2015): 531–578.
Version
Author's final manuscript
Abstract
We consider a variational model describing the shape of liquid drops and crystals under the influence of gravity, resting on a horizontal surface. Making use of anisotropic symmetrization techniques, we establish the existence, convexity and symmetry of minimizers for a class of surface tensions admissible to the symmetrization procedure. In the case of smooth surface tensions, we obtain the uniqueness of minimizers via an ODE characterization.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00205-014-0788-z
