Functionals depending on curvatures with constraints

Details Functionals depending on curvatures with constraints Functionals depending on curvatures with constraints

2000-06-05

arxiv.org/abs/math/0006031v1

Mathematics

Functional Analysis

20 pages. To appear on Rendiconti del Seminario Matematico dell'Universita' di Padova

Scientific paper

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.

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