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arXiv · 1211.6504

Radial representation of lower semicontinuous envelope

Omar Anza Hafsa·Jean-Philippe Mandallena
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Abstract

We give an extension to a nonconvex setting of the classical radial representation result for lower semicontinuous envelope of a convex function on the boundary of its effective domain. We introduce the concept of radial uniform upper semicontinuity which plays the role of convexity, and allows to prove a radial representation result for nonconvex functions. An application to the relaxation of multiple integrals with constraints on the gradient is given.

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Omar Anza Hafsa, Jean-Philippe Mandallena. 2012-11-28. Radial representation of lower semicontinuous envelope. https://arxiv.org/abs/1211.6504

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