Results 81 to 90 of about 26,844 (257)

Regularity of harmonic functions for anisotropic fractional Laplacians

Mathematische Nachrichten, 2010
AbstractWe prove that bounded harmonic functions of anisotropic fractional Laplacians are Hölder continuous under mild regularity assumptions on the corresponding Lévy measure. Under some stronger assumptions the Green function, Poisson kernel and the harmonic functions are even differentiable of order up to three (© 2010 WILEY‐VCH Verlag GmbH & Co.
openaire   +3 more sources

On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity

Applied Mathematics Letters, 2005
In this note, we prove that given u a weak solution of the Primitive Equations, imposing an additional condition on the vertical derivative of the velocity u (concretely ∂zu ∈ L∞(0, T;L2(Ω)) ∩ L2(0, T; H1(Ω))), then two different results hold; namely, uniqueness of weak solution (any weak solution associated to the same data that u must coincide with u)
Guillén González, Francisco Manuel, Rodríguez Bellido, María Ángeles   +1 more
openaire   +4 more sources

Electric Field‐Dependent Conductivity as Probe for Charge Carrier Delocalization and Morphology in Organic Semiconductors

Advanced Functional Materials, EarlyView.
Applying a high electric field to a doped organic semiconductor heats up the charge carrier distribution beyond the lattice temperature, enhancing conductivity. It is shown that the associated effective temperature can be used to extract the effective localization length, which is a characteristic length scale of charge transport and provides ...
Morteza Shokrani, Felix Maximilian Graf, Anton Kompatscher, Dennis Derewjanko, Martijn Kemerink   +4 more
wiley   +1 more source

Regularity under sharp anisotropic general growth conditions

Discrete & Continuous Dynamical Systems - B, 2009
We prove boundedness of minimizers of energy-functionals, for in- stance of the anisotropic type (1) below, under sharp assumptions on the ex- ponents pi in terms of p : the Sobolev conjugate exponent of p; i.e., p = np n p , 1 p = 1 n P n i=1 1 pi .
CUPINI, GIOVANNI, MARCELLINI, PAOLO, MASCOLO, ELVIRA   +2 more
openaire   +3 more sources

MagPiezo: A Magnetogenetic Platform for Remote Activation of Endogenous Piezo1 Channels in Endothelial Cells

Advanced Functional Materials, EarlyView.
MagPiezo enables wireless activation of endogenous Piezo1 channels without genetic modification using 19 nm magnetic nanoparticles and low‐intensity magnetic fields. It generates torque forces at the piconewton scale to trigger mechanotransduction in endothelial cells, standing as a novel platform to interrogate and manipulate Piezo1 activity in vitro.
Susel Del Sol‐Fernández, Mariarosaria De Simone, Yilian Fernández‐Afonso, Daniel Garcia‐Gonzalez, Pablo Martínez‐Vicente, Thomas van Zanten, Raluca M. Fratila, Maria Moros   +7 more
wiley   +1 more source

Maximal regular boundary value problems in Banach-valued weighted space

Boundary Value Problems, 2005
This study focuses on nonlocal boundary value problems for elliptic ordinary and partial differential-operator equations of arbitrary order, defined in Banach-valued function spaces. The region considered here has a varying bound and depends on a certain
Veli B. Shakhmurov, Martin Bohner, Ravi P. Agarwal   +2 more
doaj   +2 more sources

Anisotropic Quasi-Wilson Element with Conforming Finite Element Approximation for Coupled Continuum Pipe-Flow/Darcy Model in Karst Aquifers

Mathematical Modelling and Analysis, 2016
This paper presents a numerical method for solving systems of partial differential equations describing flow in porous media with an embedded and inclined conduit pipe. This work considers a coupled continuum pipe-flow/Darcy model.
Wei Liu, Jintao Cui
doaj   +1 more source

Existence and Regularity Results for Anisotropic Elliptic Problems

Advanced Nonlinear Studies, 2009
Abstract We study existence and regularity of the solutions for some anisotropic elliptic problems with homogeneous Dirichlet boundary conditions in bounded domains.
openaire   +3 more sources

Efficient Charge Transport in Zero‐Dimensional Perovskite for Ultrahigh‐Sensitivity X‐Ray Detection

Advanced Functional Materials, EarlyView.
A novel mono‐octahedral 0D Bi‐based Dpy3Bi2I12 perovskite strengthens the internal hydrogen bonds and forms a quasi‐2D lattice, exhibits exceptional charge transport and mobility, achieving high X‐ray sensitivity and ultralow‐dose imaging, and setting a new benchmark for 0D detector performance.
Xin Song, Lijie Wang, Jiayi Wang, Yafeng Xu, Renqian Zhou, Shulin Chen, Partha Maity, Peng Yuan, Yongcao Zhang, Bingyao Shao, Jian‐Xin Wang, Jun Yin, Ren‐Wu Huang, Youyou Yuan, Taimoor Ahmad, Osman M. Bakr, Omar F. Mohammed   +16 more
wiley   +1 more source

The Cuttlebone Blueprint for Multifunctional Metamaterials: Design Taxonomy, Functional Decoupling, and Future Horizons

Advanced Functional Materials, EarlyView.
Cuttlebone‐inspired metamaterials exploit a septum‐wall architecture to achieve excellent mechanical and functional properties. This review classifies existing designs into direct biomimetic, honeycomb‐type, and strut‐type architectures, summarizes governing design principles, and presents a decoupled design framework for interpreting multiphysical ...
Xinwei Li, Zhendong Li
wiley   +1 more source