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. © Heldermann Verlag.
Bellettini, G. (1997). Variational approximation of functionals with curvatures and related properties. JOURNAL OF CONVEX ANALYSIS, 46(1), 91-108.
Variational approximation of functionals with curvatures and related properties
BELLETTINI, GIOVANNI
1997-01-01
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. © Heldermann Verlag.
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https://hdl.handle.net/11365/1017484