We consider a family of functionals depending on curvatures and we prove compactness and semicontinuity properties in the class of closed and bounded sets that 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.
Functionals depending on curvatures with constraints
Mora, M. G.;
2000-01-01
Abstract
We consider a family of functionals depending on curvatures and we prove compactness and semicontinuity properties in the class of closed and bounded sets that 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.File in questo prodotto:
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