Antonio Bueno

activity

20142026

most citedThe global geometry of surfaces with prescribed mean curvature in

R^{3}

13 citations · 27 across the 15 of their papers we have counts for

collaborators

18 papers

math.DG2026

Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds

Antonio Bueno

Let $H > 0$ and $κ, τ \in R$ satisfy $4 H^{2} + κ > 0$ and $κ \leq 4 τ^{2}$ . We prove that an immersed stable disk of constant mean curvature $H$ and circular boundary in the space $\math…

math.DG2023

Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map

Antonio Bueno, Rafael López

Given a $C^{1}$ function $H$ defined in the unit sphere $S^{2}$ , an $H$ -surface $M$ is a surface in the Euclidean space $R^{3}$ whose mean curvature…

math.DG2023

The Plateau-Rayleigh instability of translating $λ$ -solitons

Antonio Bueno, Rafael López, Irene Ortiz

Given a unit vector $v \in R^{3}$ and $λ \in R$ , a translating $λ$ -soliton is a surface in $R^{3}$ whose mean curvature $H$ satisfies $H=\langle N,\text…

math.DG2022

Surfaces of prescribed linear Weingarten curvature in $R^{3}$

Antonio Bueno, Irene Ortiz

Given $a, b \in R$ and $Φ \in C^{1} (S^{2})$ , we study immersed oriented surfaces $Σ$ in the Euclidean 3-space $R^{3}$ whose mean curvature $H$ and Gauss curvature…

math.DG2022

Rotational surfaces of prescribed Gauss curvature in $R^{3}$

Antonio Bueno, Irene Ortiz

We study rotational surfaces in Euclidean 3-space whose Gauss curvature is given as a prescribed function of its Gauss map. By means of a phase plane analysis and under mild assump…

math.AP2022

Radial solutions for equations of Weingarten type

Antonio Bueno, Rafael López

In this paper we study the linear Weingarten equation defined by the fully non-linear PDE $$a\, \mbox{div}\frac{Du}{\sqrt{1+|Du|^2}}+b\, \frac{\mbox{det}D^2u}{(1+|Du|^2)^2}=ϕ\left(…

math.DG2020

Surfaces with prescribed mean curvature in $H^{2} \times R$

Antonio Bueno, Irene Ortiz

In this paper we study rotational surfaces in the space $H^{2} \times R$ whose mean curvature is given as a prescribed function of their angle function. These surface…

math.DG2020

Delaunay surfaces of prescribed mean curvature in $Nil_{3}$ and $S L_{2} (R)$

Antonio Bueno

We obtain a classification result for rotational surfaces in the Heisenberg space and the universal cover of the special linear group, whose mean curvature is given as a prescribed…

math.DG2019

Invariant hypersurfaces with linear prescribed mean curvature

Antonio Bueno, Irene Ortiz

Our aim is to study invariant hypersurfaces immersed in the Euclidean space $R^{n + 1}$ , whose mean curvature is given as a linear function in the unit sphere $S^{n}$ …

math.DG2019

Rotational hypersurfaces of prescribed mean curvature

Antonio Bueno, Jose A. Galvez, Pablo Mira

We use a phase space analysis to give some classification results for rotational hypersurfaces in $R^{n + 1}$ whose mean curvature is given as a prescribed function of its G…

math.DG2019

Half-space theorems for properly immersed surfaces in $R^{3}$ with prescribed mean curvature

Antonio Bueno

Motivated by the large ammount of results obtained for minimal and positive constant mean curvature surfaces in several ambient spaces, the aim of this paper is to obtain half-spac…

math.DG2018

Prescribed mean curvature surfaces in the product spaces $M^{2} (κ) \times R$ ; Height estimates and classification results for properly embedded surfaces

Antonio Bueno

The aim of this paper is to extend classic results of the theory of CMC surfaces in the product spaces to the class of immersed surfaces in $M^{2} (κ) \times R$ whose…

math.DG2018★ 6 cited

A Delaunay-type classification result for prescribed mean curvature surfaces in $M^{2} (κ) \times R$

Antonio Bueno

The purpose of this paper is to study immersed surfaces in the product spaces $M^{2} (κ) \times R$ , whose mean curvature is given as a $C^{1}$ function depending on thei…

math.DG2018★ 1 cited

The Björling problem for prescribed mean curvature surfaces in $R^{3}$

Antonio Bueno

In this paper we solve the Björling problem for the class of immersed surfaces in $R^{3}$ whose mean curvature is given as an analytic function depending on its Gauss map. A…

math.DG2018★ 2 cited

Height estimates for constant mean curvature graphs in $Nil_{3}$ and $P S L_{2} (R)$

Antonio Bueno

In this paper we obtain height estimates for compact, constant mean curvature vertical graphs in the homogeneous spaces $Nil_{3}$ and $P S L_{2} (R)$ . As a s…

math.DG2018★ 4 cited

Translating solitons of the mean curvature flow in the space $H^{2} \times R$

Antonio Bueno

In this paper we study the theory of self translating solitons of the mean curvature flow of immersed surfaces in the product space $H^{2} \times R$ . We relate this t…

math.DG2018★ 13 cited

The global geometry of surfaces with prescribed mean curvature in $R^{3}$

Antonio Bueno, Jose A. Galvez, Pablo Mira

We develop a global theory for complete hypersurfaces in $R^{n + 1}$ whose mean curvature is given as a prescribed function of its Gauss map. This theory extends the usual o…

math.DG2014★ 1 cited

Translation surfaces of linear Weingarten type

Antonio Bueno, Rafael López

We give a relatively simple proof that a translation surface in Euclidean space that satisfies a relation of type $a H + b K = c$ , for some real numbers $a, b, c$ , where $H$ and $K$ are th…

Stable constant mean curvature disks with circular boundary in homogeneous three-manifolds

Compact surfaces with boundary with prescribed mean curvature depending on the Gauss map

The Plateau-Rayleigh instability of translating λ-solitons

Surfaces of prescribed linear Weingarten curvature in R3

Rotational surfaces of prescribed Gauss curvature in R3

Radial solutions for equations of Weingarten type

Surfaces with prescribed mean curvature in H2×R

Delaunay surfaces of prescribed mean curvature in Nil3​ and SL2​​(R)

Invariant hypersurfaces with linear prescribed mean curvature

Rotational hypersurfaces of prescribed mean curvature

Half-space theorems for properly immersed surfaces in R3 with prescribed mean curvature

Prescribed mean curvature surfaces in the product spaces M2(κ)×R; Height estimates and classification results for properly embedded surfaces

A Delaunay-type classification result for prescribed mean curvature surfaces in M2(κ)×R

The Björling problem for prescribed mean curvature surfaces in R3

Height estimates for constant mean curvature graphs in Nil3​ and PSL2​(R)

Translating solitons of the mean curvature flow in the space H2×R

The global geometry of surfaces with prescribed mean curvature in R3

Translation surfaces of linear Weingarten type

The Plateau-Rayleigh instability of translating $λ$ -solitons

Surfaces of prescribed linear Weingarten curvature in $R^{3}$

Rotational surfaces of prescribed Gauss curvature in $R^{3}$

Surfaces with prescribed mean curvature in $H^{2} \times R$

Delaunay surfaces of prescribed mean curvature in $Nil_{3}$ and $S L_{2} (R)$

Half-space theorems for properly immersed surfaces in $R^{3}$ with prescribed mean curvature

Prescribed mean curvature surfaces in the product spaces $M^{2} (κ) \times R$ ; Height estimates and classification results for properly embedded surfaces

A Delaunay-type classification result for prescribed mean curvature surfaces in $M^{2} (κ) \times R$

The Björling problem for prescribed mean curvature surfaces in $R^{3}$

Height estimates for constant mean curvature graphs in $Nil_{3}$ and $P S L_{2} (R)$

Translating solitons of the mean curvature flow in the space $H^{2} \times R$

The global geometry of surfaces with prescribed mean curvature in $R^{3}$