On a class of graphs with perscribed mean curvature.
On a conjecture about the Gauss map of complete spacelike surfaces with constant mean curvature in the Lorentz-Minkowski space.
On a free boundary problem for minimal surfaces.
On a sub-supersolution method for the prescribed mean curvature problem
The paper is about a sub-supersolution method for the prescribed mean curvature problem. We formulate the problem as a variational inequality and propose appropriate concepts of sub- and supersolutions for such inequality. Existence and enclosure results for solutions and extremal solutions between sub- and supersolutions are established.
On a system of partial differential equations in Heisenberg space. (Sur un système d'équations aux d'érivées partielles dans l'espace de Heisenberg.)
On algebraic-geometrical parametrization of the constant mean curvature tori
On asymptotic properties of maximal tubes and bands in a neighborhood of an isolated singularity in Minkowski space.
On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds
Our aim is to apply suitable generalized maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces immersed in a locally symmetric Riemannian manifold, whose sectional curvature is supposed to obey standard constraints. In this setting, we establish sufficient conditions to guarantee that such a hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is simple.
On Deszcz symmetries of Wintgen ideal submanifolds
It was conjectured in [26] that, for all submanifolds of all real space forms , the Wintgen inequality is valid at all points of , whereby is the normalised scalar curvature of the Riemannian manifold and , respectively , are the squared mean curvature and the normalised scalar normal curvature of the submanifold in the ambient space , and this conjecture was shown there to be true whenever codimension . For a given Riemannian manifold , this inequality can be interpreted as follows:...
On embedded minimal disks in convex bodies
On False Branch Poitns of incompressible branched immersions.
On generalised Chen and -minimal immersions.
On Interior Branch Points of Minimal Surfaces.
On minimal annuli in a slab.
On minimal surfaces in
On minimal surfaces with free boundaries in given homotopy classes
On nonparametric surfaces of constant mean curvature
On one family of minimal tori in with planar embedded ends.
On solving the Plateau problem in parametric form.
On some generalisations of constant mean curvature surfaces.