Summary: Ann. I. H. Poincaré ­ AN 20, 3 (2003) 359­390
2003 Éditions scientifiques et médicales Elsevier SAS. All rights reserved
10.1016/S0294-1449(02)00017-3/FLA
RELAXATION OF CONVEX FUNCTIONALS:
THE GAP PROBLEM
RELAXATION DE FONCTIONNELLES CONVEXES:
LE PROBLÈME DU GAP
E. ACERBI a, G. BOUCHITTÉ b, I. FONSECA c,
a Dipartimento di Matematica, Via Massimo D'Azeglio 85/A, 43100 Parma, Italy
b Département de mathématiques, Université de Toulon et du Var, BP 132,
83957 La Garde Cedex, France
c Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, USA
Received 17 July 2001, revised 18 January 2002
ABSTRACT. ­ It is shown that the relaxed energy
F(u,A) := inf liminf
n+
A
f (x,un)dx: {un} W
1,
loc (A;Rd

Source: Acerbi, Emilio - Dipartimento di Matematica, Università degli Studi di Parma

Collections: Mathematics