Results 121 to 130 of about 18,366,163 (311)
Elliptic-type soliton combs in optical ring microresonators
, 2017 Soliton crystals are periodic patterns of multi-spot optical fields formed from either time or space entanglements of equally separated identical high-intensity pulses. These specific nonlinear optical structures have gained interest in recent years with
Alain M. Dikande (14362074) +1 more
core +1 more source
Elliptic curves and the congruent number problem [PDF]
, 2023 openIn this thesis we will introduce some basic notions on the arithmetic theory of elliptic curves and show how this theory is connected to the congruent number problem, a classical problem in arithmetic.
BARBAN, FRANCESCO
core
Spatial Homeotropic and Planar Liquid Crystal Alignment Patterning
Advanced Materials Interfaces, EarlyView.A voltage‐assisted two‐step photoalignment methodology achieves precise micro‐patterning of alternating planar and homeotropic liquid crystal domains. Applying an AC electric field during in situ laser illumination minimizes phase retardation, reducing the required exposure dose. This cooperative mechanism enables high‐resolution spatial patterning and
Mingye Li, Inge Nys, Jeroen Beeckman
wiley +1 more source
On the confinement of bounded entire solutions to a class of semilinear elliptic systems [PDF]
, 2014 Under appropriate assumptions, we show that all bounded entire solutions to a class of semilinear elliptic systems are confined in a convex domain. Moreover, we prove a Liouville type theorem in the case where the domain is strictly convex.
Sourdis, Christos, Christos Sourdis
core
Advanced Materials Technologies, EarlyView.A closed U‐shaped microfluidic platform symmetrically embeds a single, size‐controlled HT29 colorectal cancer spheroid within a GFP‐HUVEC‐laden fibrin matrix. HT29 spheroids are associated with hyper‐branched endothelial network remodeling, while vascularized co‐culture is accompanied by anisotropic protrusive growth and EMT‐like marker changes in the ...
G. Cretti +4 more
wiley +1 more source
Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
, 2013 Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
core
Zero‐Waste Manufacturing of Ophthalmic Lenses by Direct Fluidic Shaping in Arbitrary Domains
Advanced Materials Technologies, EarlyView.Conventional ophthalmic lens manufacturing discards up to 97% of material through subtractive processes. The Cookie Cutter algorithm extends Fluidic Shaping to arbitrary rim geometries. The framework prescribes a spatially varying boundary height that, under neutral buoyancy and surface tension, shapes curable polymer into spherocylindrical lenses that
Yotam Katzman +6 more
wiley +1 more source
An application of the Lyapunov-Schmidt method to semilinear elliptic problems
Electronic Journal of Differential Equations, 2005 In this paper we consider the existence of nonzero solutions for the undecoupling elliptic system $$displaylines{ -Delta u=lambda u+delta v+f(u,v), cr -Delta v=heta u+ gamma v+g(u,v), }$$ on a bounded domain of $mathbb{R}^n$, with zero Dirichlet ...
Quoc Anh Ngo
doaj
On the property of divisibility points of elliptic curves over finite fields on two
Наука. Инновации. Технологии, 2022 In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve.
Michail Grigorievich Babenko +2 more
doaj
Maximal Graphs and Spacelike Mean Curvature Flows in Semi-Euclidean Spaces [PDF]
, 2011 Two main results are proved. The first is for the maximal graph system in semi-Euclidean spaces. Existence of smooth solutions to the Dirichlet problem is proved, under certain assumptions on the boundary data.
THORPE, BENJAMIN,STUART +1 more
core