Jaime Ripoll

collaborators

3 papers

math.AP2025

An alternative solvability criterion for the Dirichlet problem for the minimal surface equation and an application to the mean curvature flow

Ari J. Aiolfi, Giovanni da Silva Nunes, Jaime Ripoll +2

We propose an alternative condition for the solvability of the Dirichlet problem for the minimal surface equation that applies to non-mean convex domains. We introduce a structural…

math.DG2025

A lower bound of the energy functional of a class of vector fields and a characterization of the sphere

Giovanni da Silva Nunes, Jaime Ripoll

Let $M$ be a compact, orientable, $n$ -dimensional Riemannian manifold, $n \geq 2$ , and let $F$ be the energy functional acting on the space $Ξ (M)$ of $C^{\infty}$ vector fields of $…

math.DG2023

On the non-parabolicity of $S o l_{3}$

Leonardo Bonorino, Giovanni Nunes, Álvaro Ramos +3

We prove that $S o l_{3}$ , the isometry group of the Minkowski plane, is non parabolic with respect to any left invariant metric.

An alternative solvability criterion for the Dirichlet problem for the minimal surface equation and an application to the mean curvature flow

A lower bound of the energy functional of a class of vector fields and a characterization of the sphere

On the non-parabolicity of Sol3​

On the non-parabolicity of $S o l_{3}$