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A Lipschitz selection from the set of minimizers of a nonconvex functional of the gradient

TitleA Lipschitz selection from the set of minimizers of a nonconvex functional of the gradient
Publication TypeJournal Article
Year of Publication1999
AuthorsDal Maso, G, Goncharov, VV, Ornelas, A
JournalNonlinear Analysis, Theory, Methods and Applications. Volume 37, Issue 6, September 1999, Pages 707-717
Abstract

A constructive and improved version of the proof that there exist a continuous map that solves the convexified problem is presented. A Lipschitz continuous map is analyzed such that a map vector minimizes the functional at each vector satisfying Cellina\\\'s condition of existence of minimum. This map is explicitly given by a direct constructive algorithm.

URLhttp://hdl.handle.net/1963/6439
DOI10.1016/S0362-546X(98)00067-4

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