We consider a Riemannian submersion from a 3-manifold $\mathbb {E} $ to a surface $ M $,
both connected and orientable, whose fibers are the integral curves of a Killing vector field …

Let $ M $ be Hadamard manifold with sectional curvature $ K_ {M}\leq-k^{2} $, $ k> 0$.
Denote by $\partial _ {\infty} M $ the asymptotic boundary of $ M $. We say that $ M …

We study the asymptotic Dirichlet problem for f-minimal graphs in Cartan-Hadamard
manifolds M. f-minimal hypersurfaces are natural generalizations of self-shrinkers which …

We study the asymptotic Dirichlet problem for Killing graphs with prescribed mean curvature
H in warped product manifolds M * _ ϱ RM× ϱ R. In the first part of the paper, we prove the …

Abstract Let R _+^ n+ 1 R+ n+ 1 be the half-space model of the hyperbolic space H^ n+ 1. H
n+ 1. It is proved that if Γ ⊂\left {x_ n+ 1= 0\right\} ⊂ ∂ _ ∞ H^ n+ 1 Γ⊂ xn+ 1= 0⊂∂∞ H n+ …

Nonsolvability of the asymptotic Dirichlet problem for some quasilinear elliptic PDEs on
Hadamard manifolds Page 1 Rev. Mat. Iberoam. 31 (2015), no. 3, 1107–1129 doi 10.4171/rmi/864 …

We show that the Dirichlet problem for the minimal hypersurface equation defined on
arbitrary C 2 bounded domain Ω of an arbitrary complete Riemannian manifold M is solvable …

We study the Dirichlet problem at infinity on a Cartan-Hadamard manifold M of dimension
n≥ 2 for a large class of operators containing, in particular, the p-Laplacian and the minimal …

We study the prescribed mean curvature equation for $ t $-graphs in a Riemannian
Heisenberg group of arbitrary dimension. We characterize the existence of classical …

The paper aims at proving global height estimates for Killing graphs defined over a complete
manifold with non-empty boundary. To this end, we first point out how the geometric analysis …