[HTML][HTML] Geometric properties of surfaces with the same mean curvature in R3 and L3

AL Albujer, M Caballero - Journal of Mathematical Analysis and …, 2017 - Elsevier
Spacelike surfaces in the Lorentz–Minkowski space L 3 can be endowed with two different
Riemannian metrics, the metric inherited from L 3 and the one induced by the Euclidean …

Height and Area Estimates for Constant Mean Curvature Graphs in -Spaces

JM Manzano, B Nelli - The Journal of Geometric Analysis, 2017 - Springer
We obtain area growth estimates for constant mean curvature graphs in E (κ, τ) E (κ, τ)-
spaces with κ ≤ 0 κ≤ 0, by finding sharp upper bounds for the volume of geodesic balls in E …

[HTML][HTML] Multiplicity of positive radial solutions of a singular mean curvature equations in Minkowski space

M Pei, L Wang - Applied Mathematics Letters, 2016 - Elsevier
In this article, by using the Leggett–Williams' fixed point theorem, we prove the existence of
at least three positive radial solutions of the singular Dirichlet problem for the prescribed …

Positive radial solutions of a mean curvature equation in Minkowski space with strong singularity

M Pei, L Wang - Proceedings of the American Mathematical Society, 2017 - ams.org
The existence of positive radial solution is obtained for a mean curvature equation in
Minkowski space of the form\[\left\{\begin {array}{ll}\hbox {div}(\frac {\nabla v}{\sqrt {1-|\nabla …

Positive radial solutions of a mean curvature equation in Lorentz–Minkowski space with strong singularity

M Pei, L Wang - Applicable Analysis, 2020 - Taylor & Francis
The existence and uniqueness of positive radial solutions are obtained for a mean curvature
equation in Lorentz–Minkowski space of the form div∇ v 1−|∇ v| 2+ f (| x|, v)= 0 in Ω, v= 0 …

A sharp height estimate for the spacelike constant mean curvature graph in the Lorentz–Minkowski space

J Zhu - Pacific Journal of Mathematics, 2017 - msp.org
Based on the local comparison principle of Chen and Huang (1982), we study the local
behavior of the difference of two spacelike graphs in a neighborhood of a second contact …

A convexity result for constant mean curvature spacelike graphs in the Lorentz-Minkowski space

AL Albujer, M Caballero, R López - impan.pl
A surface in the 3-dimensional Lorentz-Minkowski space L 3 is said to be spacelike if its
induced metric from L 3 is Riemannian. In this contribution we consider compact spacelike …

[PDF][PDF] UNIQUENESS OF CRITICAL POINT OF THE CONSTANT MEAN CURVATURE SPACELIKE SURFACE IN THE LORENTZ-MINKOWSKI SPACE

J ZHU - researchgate.net
In this paper, we prove Chen & Huang's comparison principle in 3-dimensional Lorentz-
Minkowski space L3, which originally proved in 3-dimensional Euclidean space R3. Then …

Convexidad de superficies espaciales con curvatura media constante en el espacio de Lorentz-Minkowski

AL Albujer, M Caballero, R López - um.es
Una superficie en el espacio 3-dimensional de Lorentz-Minkowski L3 se dice que es
espacial si la métrica inducida de L3 es riemanniana. En esta charla consideraremos …