Glasnik Matematicki, Vol. 41, No.1 (2006), 101-114.

HOMOGENIZATION OF RANDOM DEGENERATED NONLINEAR MONOTONE OPERATORS

J. Engström, L.-E. Persson, A. Piatnitski and P. Wall

J. Engström, Department of Mathematics, Luleå, University of Technology, SE-971 87 Luleå, Sweden

L.-E. Persson, Department of Mathematics, Luleå, University of Technology, SE-971 87 Luleå, Sweden

A. Piatnitski, Narvik University College, N-8505 Narvik, Norway
P. N. Lebedev Physical Institute of RAS, Leninski pr., 53, Moscow 119991, Russia

P. Wall, Department of Mathematics, Luleå, University of Technology, SE-971 87 Luleå, Sweden

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.

2000 Mathematics Subject Classification.   35B27, 35B40.

Key words and phrases.   Stochastic homogenization, random operators, degenerated monotone operators.

Full text (PDF) (free access)

DOI: 10.3336/gm.41.1.10

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