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

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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https://hal.archives-ouvertes.fr/hal-00580074
Contributor : Michael Goldman <>
Submitted on : Wednesday, November 28, 2012 - 5:42:50 PM
Last modification on : Wednesday, December 9, 2020 - 3:14:28 PM
Long-term archiving on: : Saturday, December 17, 2016 - 4:57:09 PM

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  • HAL Id : hal-00580074, version 4
  • ARXIV : 1103.5161

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Michael Goldman, Matteo Novaga. Volume-constrained minimizers for the prescribed curvature problem in periodic media. Calculus of Variations and Partial Differential Equations, Springer Verlag, 2012. ⟨hal-00580074v4⟩

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