Glasnik matematički, Vol. 41 No. 1, 2006.
Original scientific paper
Homogenization of random degenerated nonlinear monotone operators
J. Engström
L.-E. Persson
A. Piatnitski
P. Wall
Abstract
This paper deals with homogenization of random nonlinear monotone operators in divergence form. We assume that the structure conditions (strict monotonicity and continuity conditions) degenerate and are given in terms of a weight function. Under proper integrability assumptions on the weight function we construct the effective operator and prove the homogenization result.
Keywords
Stochastic homogenization; random operators; degenerated monotone operators
Hrčak ID:
3303
URI
Publication date:
24.5.2006.
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