APPLICATIONS OF MATHEMATICS, Vol. 42, No. 3, pp. 195-212, 1997

A remark on polyconvex envelopes of radially symmetric functions in dimension $2\times2$

Ondrej Dosly

Ondrej Dosly, Department of Mathematics, Masaryk University, Janackovo nam. 2a, 662 95 Brno, Czech Republic

Abstract: We study polyconvex envelopes of a class of functions related to the function of Kohn and Strang introduced in \cite4. We present an example of a function of this class for which the polyconvex envelope may be computed explicitly and we also point out some general features of the problem.

Keywords: polyconvex envelope, rank one convex envelope, lower semicontinuous functional

Classification (MSC 1991): 90C26

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