Summary: Nonlinear Analysis 50 (2002) 839­870
www.elsevier.com/locate/na
Homogenization of multiparameter integrals
Felipe Alvareza;b;
, Jean-Philippe Mandallenab
aDepartamento de IngenierÃa MatemÃatica, Universidad de Chile, Casilla 170=3, Correo 3,
Santiago, Chile
bCentro de Modelamiento MatemÃatico (CNRS UMR 2071), Universidad de Chile, Blanco Encalada
2120, Santiago, Chile
Received 22 June 2000; accepted 2 January 2001
Keywords: Periodic domains; Multiparameter functional; Homogenization; Convex integrands;
Gamma-convergence; Direct method
1. Introduction
In this paper we are concerned with some multiparameter integral functionals of the
form
W
x
; u(x) dx; (1)
where is a bounded domain in RN
; u : Rm

Source: Alvarez, Felipe - Departamento de Ingeniería Matemática, Universidad de Chile

Collections: Mathematics; Engineering