We show that a complete, two-sided, stable immersed anisotropic minimal hypersurface in
has intrinsic cubic volume growth, provided the parametric elliptic integral is-close to the …

We establish the rectifiability of measures satisfying a linear PDE constraint. The obtained
rectifiability dimensions are optimal for many usual PDE operators, including all first-order …

We propose a new weak solution concept for (two-phase) mean curvature flow which enjoys
both (unconditional) existence and (weak-strong) uniqueness properties. These solutions …

We construct nonlinear entire anisotropic minimal graphs over R 4, completing the solution
to the anisotropic Bernstein problem. The examples we construct have a variety of growth …

In this paper we consider Lipschitz graphs of functions which are stationary points of strictly
polyconvex energies. Such graphs can be thought as integral currents, resp. varifolds, which …

We provide a compactness principle which is applicable to different formulations of Plateau's
problem in codimension one and which is exclusively based on the theory of Radon …

Rectifiable sets, measures, currents and varifolds are foundational concepts in geometric
measure theory. The last four decades have seen the emergence of a wealth of connections …

We prove that m-dimensional Lipschitz graphs with anisotropic mean curvature bounded in
L p, p> m, are regular almost everywhere in every dimension and codimension. This …

We prove a Bernstein theorem for\(\Phi\)-anisotropic minimal hypersurfaces in all
dimensional Euclidean spaces that the only entire smooth solutions\(u:{\mathbb …

Given an elliptic integrand of class C^ 2, α C 2, α, we prove that finite unions of disjoint open
Wulff shapes with equal radii are the only volume-constrained critical points of the …