Meunier, N
Van Schaftingen, Jean
[UCL]
In this paper, we study reiterated homogenization for equations of the form -div(a(is an element of)(x, Du(is an element of))) =f. We assume that as is a Caratheodory function and satisfies some monotonicity and growth conditions and its reiterated unfolding converges almost everywhere to a Caratheodory type function. Under these assumptions, we show that the sequence of solutions converges to the solution of a limit variational problem. In particular this contains the case a(is an element of)(x, xi) = a(x, x/is an element of, x/is an element of delta(is an element of), xi) where a is periodic in the second and third arguments, and continuous in each argument. (c) 2005 Elsevier SAS. All rights reserved.
Bibliographic reference |
Meunier, N ; Van Schaftingen, Jean. Periodic reiterated homogenization for elliptic functions. In: Journal de mathématiques pures et appliquées, Vol. 84, no. 12, p. 1716-1743 (2005) |
Permanent URL |
http://hdl.handle.net/2078.1/38986 |