Asymmetric unbounded liquid bridges
Asymptotic behaviour of minimal graphs over exterior domains
Best constants for the isoperimetric inequality in quantitative form
We prove some results in the context of isoperimetric inequalities with quantitative terms. In the -dimensional case, our main contribution is a method for determining the optimal coefficients in the inequality , valid for each Borel set with positive and finite area, with and being, respectively, the and the of . In dimensions, besides proving existence and regularity properties of minimizers for a wide class of including the lower semicontinuous extension of , we describe the...
Bifurkation von Minimalflächen und elementare Katastrophen.
Boundaries of Caccioppoli sets with Hölder-continuois normal vector.
Boundary Configuartions Spanning Contiuna of Minimal Surfaces.
Boundary value problems for harmonic and minimal maps of surfaces into manifolds
Branched Immersions of Surfaces and Reduction of Topological Type. II.
C2-Regularity for Partially Free Minimal Surfaces.
Capillary Surfaces in Negative Gravitational Fields.
Coincidence set of minimal surfaces for the thin obstacle.
Comparison principles and Liouville theorems for prescribed mean curvature equations in unbounded domains
Complete minimal hypersurfaces in hyperbolic n-manifolds.
Complete minimal hypersurfaces with prescribed asymptotics at infinity.
Complete Non-Orientable Minimal Surfaces in ℝ 3 and Asymptotic Behavior
In this paperwe give new existence results for complete non-orientable minimal surfaces in ℝ3 with prescribed topology and asymptotic behavior
Complete nonorientable minmal surfaces in R3.
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents
There is an obvious topological obstruction for a finite energy unimodular harmonic extension of a -valued function defined on the boundary of a bounded regular domain of . When such extensions do not exist, we use the Ginzburg-Landau relaxation procedure. We prove that, up to a subsequence, a sequence of Ginzburg-Landau minimizers, as the coupling parameter tends to infinity, converges to a unimodular harmonic map away from a codimension-2 minimal current minimizing the area within the homology...
Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
Continuity of Minimal Surfaces with Piecewise Smooth Free Boundaries.
Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.