Gradient Young measures, varifolds, and a generalized Willmore functional
Optimization and Control
2012-10-30 v2
Abstract
Being Omega an open and bounded Lipschitz domain of R^n, we consider the generalized Willmore functional on Omega defined, for smooth functions, as the p-Willmore energy of each isolevel set integrated over all levels. We propose a new framework, that combines varifolds and Young measures, to study the relaxation of this functional in BV(Omega) with respect to the strong topology of L^1.
Cite
@article{arxiv.1112.2091,
title = {Gradient Young measures, varifolds, and a generalized Willmore functional},
author = {Simon Masnou and Giacomo Nardi},
journal= {arXiv preprint arXiv:1112.2091},
year = {2012}
}
Comments
35 pages