On Construction of Martin Boundaries for Second Order Elliptic Equations
A generalized version of the classical Martin theorem says that any positive solution of a second order linear elliptic equation in a domain of a Riemannian manifold is represented uniquely by an integral of the Martin kernel over the Martin boundary with respect to a finite positive Borel measure which is zero at the non-minimal Martin boundary.
openaire +2 more sources
Gate‐Tunable Floquet Weyl Photon Emission from Topological Dirac Semimetal Cd3As2
We report experimental demonstration of Floquet band engineering in a 3D Dirac semimetal. Circularly polarized light breaks the time reversal symmetry and transforms Cd3As2 into a Floquet–Weyl phase, splitting Dirac nodes into chirality‐opposite Weyl nodes with nonzero Berry curvature.
Sobhan Subhra Mishra +4 more
wiley +1 more source
On solutions of anisotropic elliptic equations with variable exponent and measure data [PDF]
© 2019, © 2019 Informa UK Limited, trading as Taylor & Francis Group. The Dirichlet problem in arbitrary domains for a wide class of anisotropic elliptic equations of the second order with variable exponent nonlinearities and the right-hand side as a ...
Kozhevnikova L.
core
Second-order boundary estimates for solutions to singular elliptic equations in borderline cases
Let $Omegasubset R^N$ be a bounded smooth domain. We investigate the effect of the mean curvature of the boundary $partialOmega$ on the behaviour of the solution to the homogeneous Dirichlet boundary value problem for the equation $Delta u+f(u)=0 ...
Claudia Anedda, Giovanni Porru
doaj
Generating Unconventional Spin‐Orbit Torques With Patterned Phase Gradients in Tungsten Thin Films
ABSTRACT A key aim in spintronics is to achieve current‐induced magnetization switching via spin‐orbit torques without external magnetic fields. For this, the focus of recent work has been on introducing controlled lateral gradients across ferromagnet/heavy‐metal devices, giving variations in thickness, composition, or interface quality.
Lauren J. Riddiford +9 more
wiley +1 more source
A Posteriori Error Analysis of hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic Problems [PDF]
We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin finite element methods for a class of second-order quasilinear elliptic partial differential equations.
Suli, Endre +3 more
core +1 more source
Elliptic and parabolic regularity for second‐ order divergence operators with mixed boundary conditions [PDF]
We study second-order equations and systems on non-Lipschitz domains including mixed boundary conditions. The key result is interpolation for suitable function spaces. From this, elliptic and parabolic regularity results are deduced by means of Šneı̆berg'
Alf Jonsson +8 more
core +1 more source
A giant insulator to metal transition and emergent superparamagnetism are revealed by nanoparticle exsolution in non‐stoichiometric titanate perovskite thin films. By combining transport, synchrotron spectroscopy, and first‐principles calculations, this work reveals how defect reconfiguration and lattice reconstruction fundamentally reshape electronic ...
Sungil Kim +11 more
wiley +1 more source
The transmission problem for elliptic second order equations in a conical domain
The present article is a survey of our last results. We establish best possible estimates of the weak solutions to the transmission problem near conical boundary point. We study this problem for the Laplace operator with N different media, for linear and
Michail Borsuk
doaj
Combined 2D and 3D X‐ray scattering imaging is used to analyse nanostructural properties in the inferior and superior cortex of 78 human femoral necks from 44 donors. The methodology allows for increased interpretation of nanostructure in a statistically relevant dataset, revealing nanostructural differences in anatomical locations critical to clinical
Torne Tänzer +8 more
wiley +1 more source

