Functionals depending on curvatures with constraints
Functional Analysis
2007-05-23 v1
Abstract
We deal with a family of functionals depending on curvatures and we prove for them compactness and semicontinuity properties in the class of closed and bounded sets which satisfy a uniform exterior and interior sphere condition. We apply the results to state an existence theorem for the Nitzberg and Mumford problem under this additional constraint.
Cite
@article{arxiv.math/0006031,
title = {Functionals depending on curvatures with constraints},
author = {Maria Giovanna Mora and Massimiliano Morini},
journal= {arXiv preprint arXiv:math/0006031},
year = {2007}
}
Comments
20 pages. To appear on Rendiconti del Seminario Matematico dell'Universita' di Padova