Minimizers of Anisotropic Surface Tensions Under Gravity: Higher Dimensions via Symmetrization
Author(s)
Baer, Eric
Download205_2014_Article_788.pdf (648.0Kb)
PUBLISHER_POLICY
Publisher Policy
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.
Terms of use
Metadata
Show full item recordAbstract
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.
Date issued
2014-08Department
Massachusetts Institute of Technology. Department of MathematicsJournal
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
ISSN
0003-9527
1432-0673