Results 31 to 40 of about 9,844,505 (300)

The stickiness phenomena of nonlocal minimal surfaces: new results and a comparison with the classical case

open access: yesBruno Pini Mathematical Analysis Seminar, 2019
We discuss in this note the stickiness phenomena for nonlocal minimal surfaces. Classical minimal surfaces in convex domains do not stick to the boundary of the domain, hence examples of stickiness can be obtained only by removing the assumption of ...
Claudia Bucur
doaj   +1 more source

Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group

open access: yesComplex Manifolds, 2022
We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method.
Dorfmeister Josef F.   +2 more
doaj   +1 more source

Exotic Minimal Surfaces [PDF]

open access: yesThe Journal of Geometric Analysis, 2012
We prove a general fusion theorem for complete orientable minimal surfaces in $\mathbb{R}^3$ with finite total curvature. As a consequence, complete orientable minimal surfaces of weak finite total curvature with exotic geometry are produced. More specifically, universal surfaces (i.e., surfaces from which all minimal surfaces can be recovered) and ...
openaire   +3 more sources

On Ribaucour transformations and applications to linear Weingarten surfaces

open access: yesAnais da Academia Brasileira de Ciências, 2002
We present a revised definition of a Ribaucour transformation for submanifolds of space forms, with flat normal bundle, motivated by the classical definition and by more recent extensions.
KETI TENENBLAT
doaj   +1 more source

Plateau problem and minimal surfaces: numerical methods and applications

open access: yesLietuvos Matematikos Rinkinys, 2023
This article presents an overview of the results of solving the minimal surface equation by numerical methods. Another research task is the application of minimal surfaces in science, technology, especially architecture.
Mifodijus Sapagovas
doaj   +3 more sources

HARMONICS SURFACES OF GRAPHIC TYPE IN R3

open access: yesSelecciones Matemáticas, 2016
In this research we study harmonic surfaces immersed in R3. We de ned Harmonic surfaces of graphic type and showed that a harmonious surface graphic type is minimal if and only if it is part of a plane or a helix.
Carlos Carrión Riveros   +2 more
doaj   +1 more source

A Hardware Architecture For Reconfigurable Intelligent Surfaces with Minimal Active Elements for Explicit Channel Estimation [PDF]

open access: yesIEEE International Conference on Acoustics, Speech, and Signal Processing, 2020
Intelligent surfaces comprising of cost effective, nearly passive, and reconfigurable unit elements are lately gaining increasing interest due to their potential in enabling fully programmable wireless environments.
G. C. Alexandropoulos, E. Vlachos
semanticscholar   +1 more source

Minimal surfaces and the Allen–Cahn equation on 3-manifolds: index, multiplicity, and curvature estimates [PDF]

open access: yes, 2018
The Allen-Cahn equation is a semilinear PDE which is deeply linked to the theory of minimal hypersurfaces via a singular limit. We prove curvature estimates and strong sheet separation estimates for stable solutions (building on recent work of Wang-Wei ...
Otis Chodosh, Christos Mantoulidis
semanticscholar   +1 more source

Minimal surfaces with catenoid ends [PDF]

open access: yesPacific Journal of Mathematics, 1995
In this paper, we use the conjugate surface construction to prove the existence of certain non-periodic symmetric immersed minimal surfaces. These surfaces have finite total curvature and embedded catenoid ends, and they have positive genus yet maintain the symmetry of their genus-zero counterparts constructed by Jorge-Meeks and Xu.
Berglund, Jorgen, Rossman, Wayne
openaire   +4 more sources

On the quantization of some polynomial minimal surfaces

open access: yesPhysics Letters B, 2021
A class of exact membrane solutions is quantized.
Jens Hoppe
doaj   +1 more source

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