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

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Type
Preprint
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Submission Date
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arXiv ID: 1103.5161
Source
arXiv
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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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