Affordable Access

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

Authors
  • Goldman, Michael
  • Novaga, Matteo
Type
Preprint
Publication Date
Mar 15, 2013
Submission Date
Mar 26, 2011
Identifiers
arXiv ID: 1103.5161
Source
arXiv
License
Yellow
External links

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.

Report this publication

Statistics

Seen <100 times