Results 61 to 70 of about 178,189 (280)

A global characteristic of g‐limit operators for quasilinear potential elliptic systems

open access: yesMathematical Modelling and Analysis, 2002
The paper considers a family of quasilinear potential elliptic systems and uses the fact that all G‐limit operators for this family can be characterized by means of gradients of convex functions F (locally with respect to the spatial co‐ordinates). It is
U. Raitums
doaj   +1 more source

Canonical System on Elliptic Curves [PDF]

open access: yesProceedings of the American Mathematical Society, 1993
We deduce a canonical algebraic complete integrable system using the representation of the Heisenberg group. This system is shown to have solutions equivalent to those of the rigid body motion on SO(3) (Euler Top).
openaire   +1 more source

Modulating Two‐Photon Absorption in a Pyrene‐Based MOF Series: An In‐Depth Investigation of Structure–Property Relationships

open access: yesAdvanced Functional Materials, EarlyView.
This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger   +10 more
wiley   +1 more source

3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries

open access: yesAdvanced Functional Materials, EarlyView.
Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling   +7 more
wiley   +1 more source

Positive solutions for 3X3 elliptic bi-variate infinite semipositone systems with combined nonlinear effects

open access: yesElectronic Journal of Differential Equations, 2016
We study the existence of positive solutions to 3X3 bi-variate systems of reaction diffusion equations with Dirichlet boundary conditions. In particular, we consider systems where the reaction terms approach -infinity near the origin and satisfy some
Jinglong Ye, Jaffar Ali
doaj  

Existence results for a class of (p,q) Laplacian systems

open access: yesNonlinear Analysis, 2010
. We establish the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems: −∆pu = λ a(x) u |u|γ−2 + α (α + β)–1 b(x) u |u|α−2 |v|β + f    in Ω, −∆qv = µ d(x) v |v|γ−2 + β (α + β)–1 b(x) |u|α v |v|β−2 + g    in Ω, (u,v) ∈ W01,p ...
G. A. Afrouzi, M. Mirzapour
doaj   +1 more source

An All‐Optical Driven Bio‐Photovoltaic Interface for Active Control of Live Cells

open access: yesAdvanced Functional Materials, EarlyView.
Bio‐photovoltaic Interface (BIO‐PV‐I) for live cell manipulation is presented. BIO‐PV‐I can be activated non‐invasively and remotely to control the spatial motility, adhesion, and morphology of cells adhering to it. BIO‐PV‐I uses a patterned light‐induced electric potential in iron‐doped lithium niobate crystals whose light‐driven and reversible nature,
Lisa Miccio   +8 more
wiley   +1 more source

Raman Microscopy at the Organic–Inorganic Interfaces in Human Calcified Aortic Valves Shows the Co‐Existence of Whitlockite Crystals and Carbonated Hydroxyapatite‐Mineralized Collagen Fibrils

open access: yesAdvanced Functional Materials, EarlyView.
This study advances our understanding of aortic valve stenosis by capturing spatially resolved chemical and structural changes at the nanoscale. The findings highlight the potential of combined Raman and electron microscopy for understanding calcification mechanisms across diverse tissue types.
Robin H. M. Van der Meijden   +11 more
wiley   +1 more source

A note on nonlinear elliptic systems involving measures

open access: yesElectronic Journal of Differential Equations, 2000
We study the existence and regularity of solutions to nonlinear elliptic systems whose right-hand side is a measure-valued function. Using a sign condition instead of structure conditions, we obtain the same as those presented by Dolzmann, Hungerbuhler ...
Shulin Zhou
doaj  

Regularity estimates up to the boundary for elliptic systems of difference equations [PDF]

open access: yes
Regularity estimates up to the boundary for solutions of elliptic systems of finite difference equations were proved. The regularity estimates, obtained for boundary fitted coordinate systems on domains with smooth boundary, involve discrete Sobolev ...
Bube, K. P.   +2 more
core   +1 more source

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