APPLICATIONS OF MATHEMATICS, Vol. 43, No. 2, pp. 81-92, 1998

A note on bounds for non-linear multivalued homogenized operators

Nils Svanstedt

Nils Svanstedt, Department of Mathematics, Chalmers University and Goteborg University, S-412 96 Goteborg, Sweden

Abstract: In this paper we study the behaviour of maximal monotone multivalued highly oscillatory operators. We construct Reuss-Voigt-Wiener and Hashin-Shtrikmann type bounds for the minimal sections of G-limits of multivalued operators by using variational convergence and convex analysis.

Keywords: multivalued operators, highly oscillatory operators, Reuss-Voigt-Wiener bounds, Hashin-Shtrikman bounds

Classification (MSC 1991): 35Q35, 35J20


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