A. Aiolfi

activity

20202023

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Showing 2020Show all

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math.DG2020

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 $Ω$ with $C^{2, α}$ boundary in $R^{n}$ , $n \geq 3$ , we obtain a $1$ -parameter family $u_{γ} \in C^{\infty} (Ω)$ , $\left\vert γ\right\vert \l…

math.DG2020

CMC Graphs With Planar Boundary in $H^{2} \times R$

Ari J. Aiolfi, Patrícia Klaser

It is known that for $Ω \subset R^{2}$ an unbounded convex domain and $H > 0$ , there exists a graph $G \subset R^{3}$ of constant mean curvature $H$ over $Ω$ with $\p…

On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation

CMC Graphs With Planar Boundary in H2×R

CMC Graphs With Planar Boundary in $H^{2} \times R$