Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

M. Goldman - M. Novaga

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

created by novaga on 24 Jan 2011
modified on 02 Jan 2018


Accepted Paper

Inserted: 24 jan 2011
Last Updated: 2 jan 2018

Journal: Calc. Var. and PDE
Year: 2011

ArXiv: 1103.5161 PDF

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


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.


Credits | Cookie policy | HTML 5 | CSS 2.1