In this paper we study a special class of closed subset of the Euclidean space generalizing convex sets. This class of sets enjoys some remarkable points both from a nonsmooth analysis point of view and from a geometric measure theory one. Several authors have studied it, mainly using only one of these two possible approaches. Here we present some results obtained with a combination of both these methods.
Comparison between some nonsmooth and geometric measure theory concepts
MARIGONDA, ANTONIO
2005-01-01
Abstract
In this paper we study a special class of closed subset of the Euclidean space generalizing convex sets. This class of sets enjoys some remarkable points both from a nonsmooth analysis point of view and from a geometric measure theory one. Several authors have studied it, mainly using only one of these two possible approaches. Here we present some results obtained with a combination of both these methods.
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