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

https://hrcak.srce.hr/3303

Publication date:

24.5.2006.

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