We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when R-N is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.
Some results on surface measures in Calculus of Variations
Bellettini, Giovanni;
1996-01-01
Abstract
We study some relations between the concepts of perimeter, Hausdorff measure, and Minkowsky content, when R-N is endowed with a convex Finsler metric depending in a continuous way on the position. We show some connections with the theory of Gamma-convergence and with the anisotropic motion of a smooth hypersurface by mean curvature.File in questo prodotto:
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