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Keywords:
polyconvex envelope; rank one convex envelope; lower semicontinuous functional; quasiconvex functional; coercive integral functional; radially symmetric function of Kohn-Strang type
polyconvex envelope; rank one convex envelope; lower semicontinuous functional; quasiconvex functional; coercive integral functional; radially symmetric function of Kohn-Strang type
Summary:
We study polyconvex envelopes of a class of functions related to the function of Kohn and Strang introduced in . 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.
References:
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[5] C. B. Morrey: Quasiconvexity and the semicontinuity of multiple integrals. Pacific. J. Math. 2 (1952), 25–53. DOI 10.2140/pjm.1952.2.25 | MR 0054865
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