Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Barbosa, Ezequiel"'
In this work we studied the stability of the family of operators $L_a=\Delta-aS$, $a\in\mathbb R$, in a warped product of an infinite interval or real line by one compact manifold, where $\Delta$ is the Laplacian and $S$ is the scalar curvature of th
Externí odkaz:
http://arxiv.org/abs/2409.08818
In this work, we prove that any two free boundary minimal hypersurfaces in the unit Euclidean ball have an intersection point in any half-ball. This is a strong version of the Frankel property proved by A. Fraser and M. Li \cite{FRLI}. As a consequen
Externí odkaz:
http://arxiv.org/abs/2109.13007
Autor:
Barbosa, Ezequiel, Moya, David
In this work we present a new family of properly embedded free boundary minimal hypersurfaces of revolution with circular boundaries in the horizon of the $n$-dimensional Schwarzschild space, $n\geq3$. In particular, we answer a question proposed by
Externí odkaz:
http://arxiv.org/abs/2108.00693
In this work, we investigate the existence of compact free-boundary minimal hypersurfaces immersed in several domains. Using an original integral identity for compact free-boundary minimal hypersurfaces that are immersed in a domain whose boundary is
Externí odkaz:
http://arxiv.org/abs/2108.00441
Autor:
Barbosa, Ezequiel, Espinar, José Maria
In contrast with the 3-dimensional case (cf. \cite{RaMo}), where rotationally symmetric totally geodesic free boundary minimal surfaces have Morse index one; we prove in this work that the Morse index of a free boundary rotationally symmetric totally
Externí odkaz:
http://arxiv.org/abs/2102.12447
Autor:
Barbosa, Ezequiel, Conrado, Franciele
We prove the validity of an inequality involving a mean of the area and the length of the boundary of immersed disks whose boundaries are homotopically non-trivial curves in an oriented compact manifold which possesses convex mean curvature boundary,
Externí odkaz:
http://arxiv.org/abs/2006.11788
In this work, we consider $M=(\mathbb{B}^3_r,\bar{g})$ as the Euclidean three-ball with radius $r$ equipped with the metric $\bar{g}=e^{2h}\left\langle , \right\rangle$ conformal to the Euclidean metric. We show that if a free boundary CMC surface $\
Externí odkaz:
http://arxiv.org/abs/2006.02529
In this paper we use the Alexandrov Reflection Method to obtain a characterization to embedded CMC capillary annulus $\Sigma^2 \subset \mathbb{B}^3$. In especial, but using a new strategy, we present a new characterization to the critical catenoid. P
Externí odkaz:
http://arxiv.org/abs/2004.03320
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 September 2023 525(2)
In this paper, we obtain nonexistence results of positive solutions, and also the existence of an unbounded sequence of solutions that changing sign for some critical problems involving conformally invariant operators on the standard unit sphere, and
Externí odkaz:
http://arxiv.org/abs/1909.05650