Minimal surfaces in R 3 with one end¶and bounded curvature

1998 ◽  
Vol 96 (1) ◽  
pp. 3-7 ◽  
Author(s):  
Lucio Rodríguez ◽  
Harold Rosenberg
Keyword(s):  
Minimal Surfaces ◽  
Bounded Curvature

scholarly journals Half-Space Theorems for Minimal Surfaces with Bounded Curvature

2001 ◽  
Vol 57 (3) ◽  
pp. 493-508 ◽  
Author(s):  
G. Pacelli Bessa ◽  
Luquésio P. Jorge ◽  
G. Oliveira-Filho
Keyword(s):  
Half Space ◽  
Minimal Surfaces ◽  
Bounded Curvature

scholarly journals On properness of minimal surfaces with bounded curvature

2003 ◽  
Vol 75 (3) ◽  
pp. 279-284
Author(s):  
Gregório P. Bessa ◽  
Luquésio P. M. Jorge
Keyword(s):  
Minimal Surfaces ◽  
Bounded Curvature

We show that immersed minimal surfaces in the euclidean 3-space with bounded curvature and proper self intersections are proper. We also showthat restricted to wide components the immersing map is always proper, regardless the map being proper or not. Prior to these results it was only known that injectively immersed minimal surfaces with bounded curvature were proper.

scholarly journals On different notions of calibrations for minimal partitions and minimal networks in ℝ2

2019 ◽  
Vol 0 (0) ◽  
Author(s):  
Marcello Carioni ◽  
Alessandra Pluda
Keyword(s):  
Minimal Surfaces ◽  
Steiner Problem ◽  
Minimal Networks

Abstract Calibrations are a possible tool to validate the minimality of a certain candidate. They have been introduced in the context of minimal surfaces and adapted to the case of the Steiner problem in several variants. Our goal is to compare the different notions of calibrations for the Steiner problem and for planar minimal partitions that are already present in the literature. The paper is then complemented with remarks on the convexification of the problem, on nonexistence of calibrations and on calibrations in families.

Minimal Surfaces from a Complex Analytic Viewpoint

2021 ◽  
Author(s):  
Antonio Alarcón ◽  
Franc Forstnerič ◽  
Francisco J. López
Keyword(s):  
Minimal Surfaces
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