Surfaces of constant Gauβ curvature and of arbitrary genus
Surfaces of constant mean curvature c in H3 (-c2) with prescribed hyperbolic Gauss map.
Surfaces of minimal area enclosing a given body in
Surfaces with Parallel Normalized Mean Curvature Vector.
Symmetry of Hypersurfaces of Constant Mean Curvature with Symmetric Boundary.
The angle criterion.
The Area of the Generalized Gaussian Image and the Stability of Minimal Surfaces in Sn and IRn.
The asymptotic behaviour of surfaces with prescribed mean curvature near meeting points of fixed and free boundaries
We study the shape of stationary surfaces with prescribed mean curvature in the Euclidean 3-space near boundary points where Plateau boundaries meet free boundaries. In deriving asymptotic expansions at such points, we generalize known results about minimal surfaces due to G. Dziuk. The main difficulties arise from the fact that, contrary to minimal surfaces, surfaces with prescribed mean curvature do not meet the support manifold perpendicularly along their free boundary, in general.
The Cusp Catastrophe of Thom in the Bifurcation of Minimal Surfaces.
The Dirichlet problem for the equation of prescribed mean curvature
The double bubble conjecture.
The double bubble problem in spherical and hyperbolic space.
The double bubble problem on the cone.
The Euler characteristic of vector fields on Banach manifolds and the problem of Plateau
The Existence of Embedded Minimal Surfaces and the Problem of Uniqueness.
The exterior plateau problem.
The faces of the Grassmanian of three-planes in R7 (Calibrated geometries on R7).
The first bifurcation point for Delaunay nodoids.
The Fundamental Equations of Minimal Surfaces in C2.
The Gauss map of a spacelike constant mean curvature hypersurface of Minkowski space.