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.
A Lipschitz selection from the set of minimizers of a nonconvex functional of the gradient / Dal Maso, G; Goncharov, Vv; Ornelas, A. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 37:6(1999), pp. 707-717. [10.1016/S0362-546X(98)00067-4]
A Lipschitz selection from the set of minimizers of a nonconvex functional of the gradient
Dal Maso, G;
1999-01-01
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.File in questo prodotto:
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