3 papers
math.DG2020
CMC Graphs With Planar Boundary in
Ari J. Aiolfi, Patrícia Klaser
It is known that for an unbounded convex domain and , there exists a graph of constant mean curvature over with $\p…
math.DG2019
On the asymptotic Plateau problem for area minimizing surfaces in
Patrícia Klaser, Ana Menezes, Álvaro Ramos
We prove some existence and non-existence results for complete area minimizing surfaces in the homogeneous space . As one of our main results, we present sufficie…
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…