14 citations · 39 across the 27 of their papers we have counts for
31 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…
Artificial Intelligence and the Autonomization of Mathematics
Jaime Ripoll
This essay examines the relationship between artificial intelligence and the historical evolution of modern Mathematics. Rather than viewing AI as an external rupture, we argue tha…
The Dirichlet problem for the minimal surface equation on unbounded helicoidal domains of
Ari Aiolfi, Caroline Assmann, Jaime Ripoll
We consider a helicoidal group in and unbounded -invariant -domains whose helicoidal projections are exterior domains…
Equivalences among parabolicity, comparison principle and capacity on complete Riemannian manifolds
A. Aiolfi, L. Bonorino, J. Ripoll +2
In this work we establish new equivalences for the concept of -parabolic Riemannian manifolds. We define a concept of comparison principle for elliptic PDE's on exterior domains…
A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition
Ari Aiolfi, Leonardo Bonorino, Jaime Ripoll +2
We say that a PDE in a Riemannian manifold is geometric if,whenever is a solution of the PDE on a domain of , the composition is also solution on…
On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation
Ari Aiolfi, Daniel Bustos, Jaime Ripoll
Given an exterior domain with boundary in , , we obtain a -parameter family , $\left\vert γ\right\vert \l…