On non-convex anisotropic surface energy regularized <i>via</i> the Willmore functional: The two-dimensional graph setting
On non-convex anisotropic surface energy regularized <i>via</i> the Willmore functional: The two-dimensional graph setting
We regularize non-convex anisotropic surface energy of a two-dimensional surface, given as a graph over the two-dimensional unit disk, by the Willmore functional and investigate existence of the corresponding global minimizers. Restricting to the rotationally symmetric case, we obtain a one-dimensional variational problem which permits to derive substantial qualitative information …