Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 159, Issue 2, Pages 109-135Publisher
SPRINGER-VERLAG
DOI: 10.1007/s002050100149
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We prove a convexity property of the surface tension corresponding to a nonlocal, anisotropic free-energy functional of van der Waals type which implies that the Wulff shape is strictly convex and smooth. We also prove that the transport coefficients of the limiting anisotropic motion by mean curvature obtained in [33] are strictly positive and equal to the stiffness parameters determined by the surface tension.
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