3 papers
math.DG2018
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…
math.DG2015
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…
math.DG2013
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…