Results 61 to 70 of about 5,126,960 (286)

The Continuous Classical Boundary Optimal Control of a Couple Nonlinear Elliptic Partial Differential Equations with State Constraints

Al-Mustansiriyah Journal of Science, 2019
This paper is concerned with, the proof of the existence and the uniqueness theorem for the solution of the state vector of a couple of nonlinear elliptic partial differential equations using the Minty-Browder theorem, where the continuous classical ...
Jamil Amir Al-hawasy, Safaa J. Mohammed Al-Qaisi   +1 more
doaj   +1 more source

Current‐Driven Chirality Detection of Magnetic Textures in Cylindrical Nanowires

Advanced Functional Materials, EarlyView.
Current‐assisted anisotropic magnetoresistance measurements in individual Ni/Au cylindrical nanowires enable detection of vortex chirality near Au segments and selective magnetic reversal in defined wire sections at magnetic fields lower than the propagation field. This approach provides a simple, cost‐effective, and non‐invasive method for probing and
Javier Rial, Alejandro Rivelles, Sofia Caspani, Célia T. Sousa, Rodrigo Guedas, José Luis Prieto, Mariana P. Proença   +6 more
wiley   +1 more source

On singular elliptic equations with measure sources [PDF]

, 2015
We prove existence of solutions for a class of singular elliptic problems with a general measure as source term whose model is \begin{eqnarray} \begin{cases} \dys -\Delta u = \frac{f(x)}{u^{\gamma}} +\mu & \text{in}\ \Omega,\\[2mm] u=0 &\text{on ...
Francescantonio Oliva, Francesco Petitta
semanticscholar   +1 more source

Stabilization of Strongly Reduced Fe(I) Single Atom Species Coordinated in a 2D Self‐Assembled Metal–Organic Network

Advanced Functional Materials, EarlyView.
A graphene‐supported 2D metal–organic network stabilizes highly reactive Fe(I)‐N4 single sites through Co‐induced charge redistribution. Combined experiments and theory reveal Fe(I) formation, oxygen‐driven oxidation, and O2 activation mechanisms, offering a strategy to access low‐valent iron centers relevant to catalytic and biological processes ...
Alessandro Namar, Basant Roondhe, Michela De Col, Stefania Baronio, Matteo Jugovac, Mattia Scardamaglia, Eleanor Frampton, Nikolay Vinogradov, Paolo Giannozzi, Erik Vesselli   +9 more
wiley   +1 more source

Guanosine‐Quadruplex Hydrogels as Dynamic, Mechanically Tunable and Ion Conductive 3D Scaffolds for Cell Culture Applications

Advanced Functional Materials, EarlyView.
Versatile guanosine‐quadruplex (GQ) hydrogels are developed as dynamic biomatrices for cell culture. These scaffolds are fabricated under mild aqueous conditions, present improved stability, tunable mechanical properties within physiological ranges; fibrillar, porous microstructure, ion conductivity, and cytocompatibility.
Neha Thakur, Minye Jin, Pavel Milkin, Deepa Negi, Carla Cofiño Fabres, Hubert Gojzewski, Leonid Ionov, Alla Synytska, Andries van der Meer, Robert Passier, Julieta I. Paez   +10 more
wiley   +1 more source

On $L_p$-estimates for elliptic and parabolic equations with $A_p$ weights [PDF]

, 2016
We prove generalized Fefferman-Stein type theorems on sharp functions with $A_p$ weights in spaces of homogeneous type with either finite or infinite underlying measure.
Hong-Jie Dong, Doyoon Kim
semanticscholar   +1 more source

An extension of a theorem by M. I. Freidlin to good solutions to elliptic nondivergence equations

Le Matematiche, 1999
In the context of second order linear uniformly elliptic equations with measurable coefficients, a result of Freidlin [9], which deals with homogenization type properties for elliptic equations with smooth periodic coefficients, is extended to ...
Orazio Arena, Paolo Manselli
doaj  

Exceptional Electro‐Optic Coefficient Unlocked via Polarization Swaying in KNbO3 Thin Films

Advanced Functional Materials, EarlyView.
We present the largest reported electro‐optic response in any material to date, guided by a new design principle that exploits ultralow coercive field polarization swaying enabled by low‐symmetry ferroelectric phases in monoclinic KNbO3 thin films for energy‐efficient classical and quantum photonic integrated circuits. ABSTRACT The electro‐optic effect
Sankalpa Hazra, Aiden Ross, Brynn Brower, Tobias Schwaigert, Ian Reed Philippi, Albert Suceava, Himirkanti Sarkar, Muhammed Aminul Haque Chowdhury, Suchismita Sarker, Darrell G. Schlom, Long‐Qing Chen, Venkatraman Gopalan   +11 more
wiley   +1 more source

Thickness‐Programmable Opto‐Memristive Dynamics in 6‐In Wafer‐Scale Atomic‐Layer‐Controlled WS2 for Reservoir Computing

Advanced Functional Materials, EarlyView.
A 6‐in wafer‐scale atomic‐layer‐controlled tungsten disulfide (WS2) is achieved by combining plasma‐assisted synthesis with three‐gas reactive ion etching. Precise layer control enables tunable band‐gap evolution and pulse‐history‐dependent opto‐memristive dynamics.
Seongho Kim, Muyoung Kim, Junhyung Cho, Yeonho Choi, Gunhyoung Kim, Eunseo Go, Sooji Byun, Minchul Roh, Hyunwoo Shim, Jinhyoung Lee, Byeong‐Seon An, Ki Seok Kim, Seungwoo Song, Min Sup Choi, Taesung Kim, Taehyun Park, Hocheon Yoo, Hyeong‐U Kim   +17 more
wiley   +1 more source

Fractional elliptic equations, Caccioppoli estimates and regularity [PDF]

, 2014
Let $L=-\operatorname{div}_x(A(x)\nabla_x)$ be a uniformly elliptic operator in divergence form in a bounded domain $\Omega$. We consider the fractional nonlocal equations $$\begin{cases} L^su=f,&\hbox{in}~\Omega,\\ u=0,&\hbox{on}~\partial\Omega, \end ...
L. Caffarelli, P. Stinga
semanticscholar   +1 more source