Mathematics

In this talk, I will go on in the study of $\phi$-calibrable facets of a regular solid set $E\subset R^3$, where $\phi$ is a convex nonsmooth norm of $R^3$. In particular, under suitable assumptions on $\phi$ and on the behavior of $E$ around a strictly $\phi$-calibrable facet $F$, I will show that the anisotropic mean curvature of $F$ can be obtained by solving the capillary problem in absence of gravity and with zero contact angle based on $F$. I will also present some examples of noncalibrable facets for which it is still possible to characterize the curvature through the capillary problem.

This seminar is part of the AJS series of seminars.