Abstract

We consider the problem of approximating via Γ-convergence a class of functionals depending on curvatures of smooth compact boundaries. We investigate the connections between the approximation problem and the lower semicontinuous envelope of the original functional. We provide some examples of lower semicontinuous functionals and their variational approximation.

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G. Bellettini

Dipartimento di Matematica Applicata "U. Dini", Università di Pisa, via Bonanno 25 bis, 56100 Pisa, Italy

Suggested citation

G. Bellettini. “Variational Approximation of Functionals with Curvatures and Related Properties.” Journal of Convex Analysis 4 (1997), No. 1, 91–108. https://doi.org/10.68381/jca04004

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Published by Heldermann Verlag, 1997. Rights now held by Banach Press.