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Functionals depending on curvatures with constraints

Maria Giovanna Mora·Massimiliano Morini
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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.

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Maria Giovanna Mora, Massimiliano Morini. 2000-06-05. Functionals depending on curvatures with constraints. https://arxiv.org/abs/math/0006031

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