Jaime Ripoll

An extension of a theorem of Serrin to graphs in warped products

In this article we extend a well known theorem of J. Serrin about existence and uniqueness of graphs of constant mean curvature in Euclidean space to a broad class of Riemannian manifolds. Our result also generalizes several others proved recently and includes the new case of Euclidean “rotational” graphs with constant mean curvature.

Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems

Let

An interior gradient estimate for the mean curvature equation of Killing graphs and applications

M

Radial Graphs of Constant Mean Curvature and Doubly Connected Minimal Surfaces with Prescribed Boundary

be Hadamard manifold with sectional curvature

Some existence and nonexistence theorems for compact graphs of constant mean curvature with boundary in parallel planes

K_{M}\leq-k^{2}

Helicoidal minimal surfaces in hyperbolic space

,

Geodesic Graphs with Constant Mean Curvature in Spheres

k>0

On the asymptotic Plateau's problem for CMC hypersurfaces in hyperbolic space

. Denote by

Convexity at infinity in Cartan–Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems

\partial_{\infty}M

Complete minimal discs in Hadamard manifolds

the asymptotic boundary of