High‐Resolution Patterned Delivery of Chemical Signals From 3D‐Printed Picoliter Droplet Networks
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 nonlinear cooperative systems on a bounded domain
In this work we give necessary and sufficient conditions for having a maximum principle for cooperative elliptic systems involving p-Laplacian operator on a bounded domain.
Liamidi Leadi, Aboubacar Marcos
doaj
Multiplicity of Positive Solutions for Semilinear Elliptic Systems
We study the effect of the coefficient of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for , , and , we should prove that for sufficiently small , there are at least positive ...
Tsing-San Hsu
doaj +1 more source
Unique continuation theorem of elliptic systems of partial differential equations [PDF]
Kazunari Hayashida
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Acoustic Moiré Flat Bands in Twisted Heterobilayer Metasurface
This research proposes a heterobilayer moiré acoustic metasurface using two distinct lattice structures. The heterobilayer design contributes to divergent dispersion curves for the upper and lower layers and allows for greater flexibility in tuning their hybridization through interlayer twisting.
Shida Fan+7 more
wiley +1 more source
Existence for an elliptic system with nonlinear boundary conditions
In this paper we prove the existence of a weak solution to the following system△_p u = △_q v = 0 in Ω,|∇u|^{p−2} ∂_ν u = f(x,u) − (α + 1)K(x)|u|^{α−1}u|v|^{β+1} + f1 on ∂Ω,|∇v|^{q−2} ∂_ν v = g(x,v) − (β + 1)K(x)|v|^{β−1}v|u|^{α+1} + g1 on ∂Ω,where Ω is a
Aomar ANANE+3 more
doaj
Partially hypoelliptic and partially elliptic systems of differential operators with constant coefficients [PDF]
Shigetake Matsuura
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This work investigates Ruddlesden–Popper (RP) defects in vapor‐deposited CsPbI3 thin films using electron microscopy, density functional theory, and optoelectronic measurements. The atomic positions at the planar defect are found comparable to those of a free surface, revealing their role in phase stabilization.
Weilun Li+7 more
wiley +1 more source
Precision Synthesis of a Single Chain Polymorph of a 2D Solid within Single‐Walled Carbon Nanotubes
The precise synthesis of 1D materials has enabled the discovery of physical properties only accessible in length scales close to the atomic scale. Herein, it is demonstrated that encapsulation within single‐walled carbon nanotubes with matching diameters leads to a stoichiometric quasi‐1D van der Waals polymorph of a 2D pnictogen chalcogenide, Sb2Te3 ...
Griffin M. Milligan+8 more
wiley +1 more source
Iterative solution of elliptic systems and applications to the neutron diffusion equations of reactor physics, by Eugene L. Wachpress. Prentice-Hall Inc., Englewood Cliffs, N. J., 1966. xiv + 299 pages. $12.95. [PDF]
James Lucien Howland
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