00981nas a2200121   4500008004100000245008300041210006900124260001000193520048800203653003100691100001900722856011800741       2015                        en  d00aSome results on anisotropic mean curvature and other phase-transition problems0 aSome results on anisotropic mean curvature and other phasetransi  bSISSA3 aThe present thesis is divided into three parts. In the first part, we analyze a
suitable regularization — which we call nonlinear multidomain model — of the
motion of a hypersurface under smooth anisotropic mean curvature flow. The
second part of the thesis deals with crystalline mean curvature of facets of a
solid set of R^3 . Finally, in the third part we study a phase-transition model for
Plateau’s type problems based on the theory of coverings and of BV functions.10aAnisotropic mean curvature1 aAmato, Stefano  uhttps://www.math.sissa.it/publication/some-results-anisotropic-mean-curvature-and-other-phase-transition-problems