Abstract

We define p-rank-one connections at infinity for an unbounded set K in MN×n and show that the quasiconvex hull Qp(K) may be bigger than K if K has a p-rank-one connection, where Qp(K) is the zero set of the quasiconvex relaxation of the p-distance function to K. We examine some examples and compare Qp(K) with Qp(K)\mathbf{Q}_p(K) - a more restrictive quasiconvex hull of K

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Kewei Zhang

Dept. of Mathematics, Macquarie University, Sydney, NSW 2109, Australia

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Suggested citation

K. Zhang. “Rank-One Connections at Infinity and Quasiconvex Hulls.” Journal of Convex Analysis 7 (2000), No. 1, 19–45. https://doi.org/10.68381/jca07002

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Published by Heldermann Verlag, 2000. Rights now held by Banach Press LLC.