7 citations · 21 across the 10 of their papers we have counts for
10 papers
On the non-parabolicity of
Leonardo Bonorino, Giovanni Nunes, Álvaro Ramos +3
We prove that , the isometry group of the Minkowski plane, is non parabolic with respect to any left invariant metric.
Geodesic boundary of constant mean curvature surfaces in
Felix Nieto, Miriam Telichevesky
Some results about the geodesic boundary of minimal surfaces in are generalized for surfaces of constant mean curvature surfaces , with $0\le H\l…
On the asymptotic Dirichlet problem for a class of mean curvature type partial differential equations
Leonardo Prange Bonorino, Jean-Baptiste Casteras, Patricia Kruse Klaser +2
We study the Dirichlet problem for the following prescribed mean curvature PDE $$ \begin{cases} -\operatorname{div}\dfrac{\nabla v}{\sqrt{1+|\nabla v|^{2}}}=f(x,v) \text{ in }Ω\\ v…
Constant mean curvature surfaces in with boundary in two parallel planes
Rodrigo Soares, Patrícia Klaser, Miriam Telichevesky
Given some sufficient conditions for existence of CMC graphs with boundary in two parallel planes of are presented. Height est…
On the asymptotic Plateau problem for CMC hypersurfaces in hyperbolic space
Jaime Ripoll, Miriam Telichevesky
Let \ be the half-space model of the hyperbolic space It is proved that if $Γ\subset\left\{ x_{n+1}=0\right\} \subset\partial_{\infty}\ma…
A note on minimal graphs over certain unbounded domains of Hadamard manifolds
Miriam Telichevesky
Given an unbounded domain of a Hadamard manifold , it makes sense to consider the problem of finding minimal graphs with prescribed continuous data on its cone-topology-boun…
Boundedness of Laplacian eigenfunctions on manifolds of infinite volume
Leonardo Bonorino, Patrícia Klaser, Miriam Telichevesky
In a Hadamard manifold , it is proved that if is a -eigenfunction of the Laplacian that belongs to for some , then is bounded and $\|u\|_{\infty} \l…
On the asymptotic Plateau's problem for CMC hypersurfaces in hyperbolic space
Jaime Ripoll
It is extended a result due to B. Guan and J. Spruck on the asymptotic Plateau's problem for CMC radial graphs in hyperbolic space to horizontal CMC graphs.
Regularity at infinity of Hadamard manifolds with respect to some elliptic operators and applications to asymptotic Dirichlet problems
Jaime Ripoll, Miriam Telichevesky
Let be Hadamard manifold with sectional curvature , . Denote by the asymptotic boundary of . We say that satisfies the strict…
Asymptotic Dirichlet problems for Laplace's and minimal equations on Hadamard manifolds
Jaime Ripoll, Miriam Telichevesky
It is proved the existence of entire solutions of the Laplace's and minimal hypersurface's PDEs on a Hadamard manifold under certain curvature conditions by investigating the a…