Quantum Emitters in Hexagonal Boron Nitride: Principles, Engineering and Applications
Advanced Functional Materials, EarlyView.Quantum emitters in hexagonal boron nitride have emerged as a promising candidate for quantum information science. This review examines the fundamentals of these quantum emitters, including their level structures, defect engineering, and their possible chemical structures.
Thi Ngoc Anh Mai +8 more
wiley +1 more source
Existence of positive solutions for some nonlinear elliptic systems on the half space
Electronic Journal of Differential Equations, 2011 We prove some existence of positive solutions to the semilinear elliptic system $$displaylines{ Delta u =lambda p(x)g(v)cr Delta v =mu q(x)f(u) }$$ in the half space ${mathbb{R}}^n_+$, $ngeq 2$, subject to some Dirichlet conditions, where $lambda$
Noureddine Zeddini
doaj
Dirichlet type problem for the system of elliptic equations, which order degenerate at a line
Nonlinear Analysis, 2014 Dirichlet type problem in a bounded domain for the system of linear elliptic equations of second order, which degenerate into first order system at a line crossing the domain, is studied.
Stasys Rutkauskas
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Advanced Healthcare Materials, EarlyView.Minimal residual disease (MRD) leads to cancer relapse and poor survival in ovarian cancer. The lack of representative 3D models limits therapy development. The microfluidics‐based high throughput 3D microtumor platform described here generates clinically‐relevant MRD models. The 3D microtumors recapitulate the molecular signatures of MRD from patients.
Xingyun Yang +14 more
wiley +1 more source
A note on the variational structure of an elliptic system involving critical Sobolev exponent
Journal of Applied Mathematics, 2003 We consider an elliptic system involving critical growth conditions. We develop a technique of variational methods for elliptic systems. Using the well-known results of maximum principle for systems developed by Fleckinger et al.
Mario Zuluaga
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Exposition on affine and elliptic root systems and elliptic Lie algebras [PDF]
arXiv, 2009 This is an exposition in order to give an explicit way to understand (1) a non-topological proof for an existence of a base of an affine root system, (2) a Serre-type definition of an elliptic Lie algebra with rank =>2, and (3) the isotropic root multiplicities of those elliptic Lie algebras.
arxiv
An Elliptic System of Integral Equations on Summable Functions [PDF]
, 1935 J. H. Binney
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High‐Resolution Patterned Delivery of Chemical Signals From 3D‐Printed Picoliter Droplet Networks
Advanced Materials, EarlyView.3D‐printed picoliter droplet networks have been fabricated that control gene expression in bacterial populations by releasing chemical signals with precise spatial definition and high temporal resolution. This system of effector release is widely applicable, offering diverse applications in biology and medicine.
Jorin Riexinger +7 more
wiley +1 more source
Maximum principle and existence results for elliptic systems on R^N
Electronic Journal of Differential Equations, 2010 In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on the whole $mathbb{R}^{N}$. This principle is then used to yield solvability for the cooperative
Liamidi Leadi, Aboubacar Marcos
doaj
On Elliptic and Hyper-Elliptic Systems of Differential Equations and their Rational and Integral Algebraic Integrals, with a Discussion of the Periodicity of Elliptic and Hyper-Elliptic Functions [PDF]
, 1894 W. R. Westropp Roberts
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