Existence results for embedded minimal surfaces of controlled topological type, I
Existence results for embedded minimal surfaces of controlled topological type, III
Extending Minimal Varieties.
Extreme Curves Bound Embedded Minimal Surfaces of the Type of the Disc.
Finiteness of the number of ends of minimal submanifolds in euclidean space.
Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves
Flächen beschränkter mittlerer Krümmung in einer dreidimensionalen Riemannschen Mannigfaltigkeit.
Flächen vorgeschriebener mittlerer Krümmung mit eindeutiger Projektion auf eine Ebene.
Foliations of hyperbolic space by constant mean curvature surfaces sharing ideal boundary.
Functionals with linear growth in the calculus of variations. I.
Functionals with linear growth in the calculus of variations. II.
Gauss curvature estimates for minimal graphs
Geodesics and soap bubbles in surfaces.
Geometric Properties of Minimal Surfaces with Free Boundaries.
Global boundedness, interior gradient estimates, and boundary regularity for the mean curvature equation with boundary conditions.
Gradient estimates and Harnack inequalities for solutions to the minimal surface equation
A gradient estimate for solutions to the minimal surface equation can be proved by Partial Differential Equations methods, as in [2]. In such a case, the oscillation of the solution controls its gradient. In the article presented here, the estimate is derived from the Harnack type inequality established in [1]. In our case, the gradient is controlled by the area of the graph of the solution or by the integral of it. These new results are similar to the one announced by Ennio De Giorgi in [3].
Gradient Estimates and Mean Curvatures.
Gyroids of constant mean curvature.
Harmonic Mappings and Minimal Submanifolds.
Harnack Inequalities for Nonuniformly Elliptic Divergence Structure Equations.