5 citations · 17 across the 9 of their papers we have counts for
9 papers
Invariant solutions for the asymptotic Plateau problem in
Matheus Pimentel Gomes, Patrícia Kruse Klaser, Jaime Bruck Ripoll +1
In this paper, we present solutions to the asymptotic Plateau problem in the hyperbolic space . In this context, we exhibit solutions for curves that are invariant un…
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…
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…
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…
The Dirichlet problem for the constant mean curvature equation in Sol_3
Patricia Klaser, Ana Menezes
A version of the Jenkins-Serrin theorem for the existence of CMC graphs over bounded domains with infinite boundary data in Sol is proved. Moreover, we construct examples of ad…
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…
Bounded -harmonic functions in domains of with asymptotic boundary with fractional dimension
Leonardo Prange Bonorino, Patrícia Kruse Klaser
The existence and nonexistence of -harmonic functions in unbounded domains of are investigated. We prove that if the Hausdorff measure of the asymptotic…
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…
Existence and nonexistence results for eigenfunctions of the Laplacian in unbounded domains of H^n
Leonardo Bonorino, Patricia Klaser
We investigate, for the Laplacian operator, the existence and nonexistence of eigenfunctions of eigenvalue between zero and the first eigenvalue of the hyperbolic space H^n, for un…