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
Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Safonov Mikhail, Cho Sungwon
doaj
Plasmon‐Enhanced Second‐Harmonic Generation in Atomically Thin Crystalline Silver Nanostructures
Atomically thin crystalline silver films combine vertical quantum confinement with lateral plasmonic field enhancement to boost second‐harmonic generation. Nanoribbon and nanotriangle arrays enable geometry‐tunable infrared plasmon resonances, producing strong SHG from deeply subwavelength metallic volumes compatible with silicon‐based nanophotonics ...
Saad Abdullah +10 more
wiley +1 more source
On the removability of isolated singular points for elliptic equations involving variable exponent
In this paper, we study the problem of removable isolated singularities for elliptic equations with variable exponents. We give a sufficient condition for removability of the isolated singular point for the equations in W 1,p(x) (Ω)${W^{1,p(x)}(\Omega )}$
Yong-Qiang Fu, Y. Shan
semanticscholar +1 more source
Directional Confinement Governed Ion Transport for Efficient Actuation
Structural anisotropy provides an effective means to regulate ion transport in polymer electrolytes. Directionally aligned channels formed by freeze‐drying provide continuous pathways for ion migration, enhancing ion mobility and simultaneously improving the strain and blocking force of ionic actuators.
Yufei Zhang +8 more
wiley +1 more source
On the stability of difference schemes for elliptic nonlocal boundary value problems
Nonlocal boundary value problems for elliptic equations arise in many applied models; however, their numerical analysis in Banach spaces, particularly under the Samarskii–Ionkin condition, remains insufficiently studied.
Allaberen Ashyralyev +2 more
doaj +1 more source
A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]
This paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
doaj +1 more source
An approximation theorem for solutions of degenerate semilinear elliptic equations [PDF]
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
Albo Carlos Cavalheiro +1 more
core +2 more sources
Chiral Phonon–Driven Ultrafast Spin Currents in a Non‐Magnetic Ferroelectric
Broadband terahertz emission spectroscopy shows signatures of ultrafast spin‐current generation in non‐magnetic ferroelectric β$\beta$’‐In2Se3${\rm In}_2{\rm Se}_3$. Reversal of the emitted field upon sample inversion and substitution of Pt with W indicates spin‐Hall‐mediated charge conversion, while polarization‐resolved measurements reveal ...
Thomas B. Gill +16 more
wiley +1 more source
Oscillation for quasilinear elliptic equations with p(x)-Laplacians in general domains
Oscillation of quasilinear elliptic equations with p(x)-Laplacians in general domains are derived by the variational approach as applications of Picone identity. Three examples are given, and generalizations to quasilinear elliptic equations with $p(x)
Norio Yoshida
doaj

