Results 91 to 100 of about 617,829 (273)

Error estimates of a semi-discrete LDG method for the system of damped acoustic wave equation

open access: yesAdvances in Difference Equations, 2018
We consider a system of acoustic wave equation possessing lower-order perturbation terms in a bounded domain in R2 $\mathbb{R}^{2}$. In this paper, we show the system is well-posed and stable with energy decays introducing a local discontinuous Galerkin (
Dojin Kim
doaj   +1 more source

Moving planes, moving spheres, and a priori estimates

open access: yesJournal of Differential Equations, 2003
The authors use the method of moving planes and the method of moving spheres to obtain a priori estimates for the solutions of semi-linear elliptic equations. By the method of moving planes they establish a sharper estimate on the solutions for prescribing scalar curvature equations with indefinite curvature functions.
Chen, Wenxiong, Li, Congming
openaire   +2 more sources

Laser‐Based Sculpturing of Embedded Ultrathin Metal‐Oxide Nanopores for Enhanced Biomolecular Sensing

open access: yesAdvanced Functional Materials, EarlyView.
Controlled laser‐drilling of embedded HfO2 membranes creates three layer nanopores with Gaussian‐shaped cavities sculptured in the supporting layers. These embedded solid‐state nanopores slow DNA translocation by 12‐fold compared to SiNx pores, enabling high‐resolution, label‐free detection of short DNAs, RNAs, and proteins.
Jostine Joby   +4 more
wiley   +1 more source

Contact Lens with Moiré Patterns for High‐Precision Eye Tracking

open access: yesAdvanced Functional Materials, EarlyView.
This work presents a passive contact lens for high‐precision eye tracking, integrating a microscopic moiré grating label. The parallax‐induced shift of macroscopic moiré patterns enables angle measurement with 0.28° precision using a standard camera under ambient light.
Ilia M. Fradkin   +11 more
wiley   +1 more source

Electromagnetic transmission problems with a large parameter in weighted Sobolev spaces

open access: yesElectronic Journal of Differential Equations, 2013
We present an a priori estimate for an electromagnetic transmission problem in unbounded exterior domains in R^3. We consider Maxwell's equations in two sub-domains, the bounded interior representing a conducting material (metal) and the unbounded ...
Jorge Eliecer Ospino
doaj  

Control of Polarization and Polar Helicity in BiFeO3 by Epitaxial Strain and Interfacial Chemistry

open access: yesAdvanced Functional Materials, EarlyView.
In BiFeO3 thin films, the interplay of interfacial chemistry, electrostatics, and epitaxial strain is engineered to stabilize homohelicity in polarization textures at the domain scale. The synergistic use of a Bi2O2‐terminated Aurivillius buffer layer and a highly anisotropic compressive epitaxial strain offers new routes to control the polar‐texture ...
Elzbieta Gradauskaite   +5 more
wiley   +1 more source

A priori estimates and existence for quasilinear elliptic equations with nonlinear Neumann boundary conditions

open access: yesElectronic Journal of Differential Equations, 2016
This article concerns the existence of positive solutions for a nonlinear Neumann problem involving the m-Laplacian. The equation does not have a variational structure.
Zhe Hu, Li Wang, Peihao Zhao
doaj  

Trap‐Assisted Transport and Neuromorphic Plasticity in Lead‐Free 2D Perovskites PEA2SnI4

open access: yesAdvanced Functional Materials, EarlyView.
An artificial retina built from lead‐free layered perovskite (PEA)2SnI4 converts light input into a persistent photocurrent and sums successive flashes over time. Micro/nanocrystals integrated on electrodes act as synapse‐like pixels that perform temporal integration directly in hardware. This in‐sensor preprocessing merges detection and computation on
Ofelia Durante   +17 more
wiley   +1 more source

Ascorbic Acid Modulates Collagen Properties in Glucocorticoid‐Induced Osteoporotic Bone: Insights into Chemical, Mechanical, and Biological Regulation

open access: yesAdvanced Healthcare Materials, EarlyView.
Osteoporosis from long‐term glucocorticoid (GIOP) use elevates susceptibility to fracture. This study shows GCs impair ascorbic acid (AA) metabolism in osteoblasts, collagen synthesis and extracellular matrix integrity. AA enhanced collagen biochemical and mechanical properties and restored osteoblast and endothelial function. These findings underscore
Micaila DE Curtis   +19 more
wiley   +1 more source

Behaviour near zero and near infinity of solutions to elliptic equalities and inequalities

open access: yesElectronic Journal of Differential Equations, 2001
Here we consider elliptic equations and inequalities involving quasilinear operators in divergence form and nonlinear lower order terms: $$-mathop{m div}left(mathcal{A}(x,u,abla u)ight) geq |x|^sigma u^Qquad(Q>0,sigma in mathbb{R}), $$ in dimension $Ngeq
Marie-Francoise Bidaut-Veron
doaj  

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