Arì Aiolfi

Universidade Federal de Santa Maria — Brazil

Mathematics · Physical Sciences

3h-index24citations22works0.02yr avg
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Research Topics

Geometric Analysis and Curvature Flows(15), Nonlinear Partial Differential Equations(14), Advanced Mathematical Modeling in Engineering(13), Point processes and geometric inequalities(5), Numerical methods in inverse problems(4)

Publications22 total

The Dirichlet Problem for the Minimal Surface Equation on Unbounded Helicoidal Domains of $$ \mathbb {R}^{m}$$
Latin American mathematics series. UFSCar subseries·2025
The Dirichlet problem for the minimal surface equation on unbounded helicoidal domains of $\mathbb{R}^{m}$
arXiv (Cornell University)·2023Open Access
On the size of stable minimal surfaces in $${\mathbb {R}}^4$$
Mathematische Zeitschrift·2022Open Access
A Moser/Bernstein type theorem in a Lie group with a left invariant metric under a gradient decay condition
Archiv der Mathematik·2022Open Access
CMC Graphs with Planar Boundary in $$\mathbb {H}^{2}\times \mathbb {R}$$
Bulletin of the Brazilian Mathematical Society New Series·2022
On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation
Proceedings of the American Mathematical Society·2021· 2 cited
Equivalences among parabolicity, comparison principle and capacity on complete Riemannian manifolds
arXiv (Cornell University)·2021Open Access
On the Size of Minimal Surfaces in $\mathbb{R}^4$
arXiv (Cornell University)·2021Open Access
On the existence of foliations by solutions to the exterior Dirichlet problem for the minimal surface equation
arXiv (Cornell University)·2020Open Access
The Dirichlet problem for the mimimal hypersurface equation with Lipschitz continuous boundary data in a Riemannian manifold
Pacific Journal of Mathematics·2020
CMC Graphs With Planar Boundary in $\mathbb{H}^{2}\times \mathbb{R}$
arXiv (Cornell University)·2020Open Access
Compact CMC Graphs in $$M\times \mathbb {R}$$ M × R with Boundary in Two Horizontal Slices
Bulletin of the Brazilian Mathematical Society New Series·2017
The Dirichlet problem for the minimal hypersurface equation with\n Lipschitz continuous boundary data on domains of a Riemannian manifold
arXiv (Cornell University)·2017Open Access
The Dirichlet problem for the minimal hypersurface equation with Lipschitz continuous boundary data on domains of a Riemannian manifold
arXiv (Cornell University)·2017Open Access
The Dirichlet problem for the minimal hypersurface equation on arbitrary domains of a Riemannian manifold
manuscripta mathematica·2015· 11 cited
On the Dirichlet problem for the CMC graph equation on multiply connected domains of a Riemannian manifold
arXiv (Cornell University)·2015Open Access
Some existence results to the Dirichlet problem for the minimal hypersurface equation on non mean convex domains of a Riemannian manifold
arXiv (Cornell University)·2013Open Access
Some existence results to the Dirichlet problem for the minimal hypersurface equation on non mean convex domains of a Riemannian manifold
HAL (Le Centre pour la Communication Scientifique Directe)·2013Open Access
SETTOTOMIA TRANSORALE PER DIVERTICOLO DI ZENKER: RISULTATI A LUNGO TERMINE E CONFRONTO DI TECNICHE
2013
Existence and uniqueness of CMC parabolic graphs in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">H</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math> with boundary data satisfying the bounded slope condition
Differential Geometry and its Applications·2009· 3 cited
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Frequent Co-authors

Jaime Ripoll(10), Marc Soret(7), Rodrigo B. Soares(5), Marina Ville(4), Lisandra Sauer(4), Giovanni Nunes(4), Pedro Fusieger(2), Leonardo Bonorino(2), Caroline Assmann(2), Patrícia Kruse Klaser(2), Carmen Vieira Mathias(1), Daniel Bustos(1), Giovanni S. Nunes(1), Daniel Bustos(1), Lisandra de Oliveira Sauer(1), Di Bona(1), Luigi Bonavina(1)