TY - JOUR T1 - A Lipschitz selection from the set of minimizers of a nonconvex functional of the gradient JF - Nonlinear Analysis, Theory, Methods and Applications. Volume 37, Issue 6, September 1999, Pages 707-717 Y1 - 1999 A1 - Gianni Dal Maso A1 - Vladimir V. Goncharov A1 - Antonio Ornelas AB - 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. PB - SISSA UR - http://hdl.handle.net/1963/6439 U1 - 6379 U2 - Mathematics U4 - 1 U5 - MAT/05 ANALISI MATEMATICA ER -