Calculus of Variations and Geometric Measure Theory
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M. Goldman - M. Novaga

Volume-constrained minimizers for the prescribed curvature problem in periodic media

created by novaga on 24 Jan 2011
modified on 10 Nov 2018

[BibTeX]

Published Paper

Inserted: 24 jan 2011
Last Updated: 10 nov 2018

Journal: Calc. Var. and PDE
Volume: 44
Number: 3-4
Pages: 297-318
Year: 2012

ArXiv: 1103.5161 PDF
Notes:

In this version the statement of Lemma 2.5 has been corrected with respect to the published version.


Abstract:

We establish existence of compact minimizers of the prescribed mean curvature problem with volume constraint in periodic media. As a consequence, we construct compact approximate solutions to the prescribed mean curvature equation. We also show convergence after rescaling of the volume-constrained minimizers towards a suitable Wulff Shape, when the volume tends to infinity.


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