Correctors for Some Nonlinear Monotone Operators
نویسندگان
چکیده
منابع مشابه
Correctors for Some Nonlinear Monotone Operators
In this paper we study homogenization of quasi-linear partial differential equations of the form −div (a (x, x/εh, Duh)) = fh on Ω with Dirichlet boundary conditions. Here the sequence (εh) tends to 0 as h → ∞ and the map a (x, y, ξ) is periodic in y, monotone in ξ and satisfies suitable continuity conditions. We prove that uh → u weakly in W 1,p 0 (Ω) as h → ∞, where u is the solution of a hom...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2001
ISSN: 1776-0852
DOI: 10.2991/jnmp.2001.8.1.2