Mathematics – Analysis of PDEs
Scientific paper
2011-03-26
Mathematics
Analysis of PDEs
Scientific paper
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.
Goldman Michael
Novaga Matteo
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