Results 11 to 20 of about 472 (202)

Hopf's lemma, asymptotic radial symmetry, and monotonicity of solutions to the logarithmic Laplacian parabolic system

Advances in Nonlinear Analysis
In this article, we extend the asymptotic method of moving planes to the following logarithmic Laplacian parabolic system: ∂z∂t(η,t)+(−△)ℒz(η,t)=f(t,v(η,t)),(η,t)∈B1(0)×[0,∞),∂v∂t(η,t)+(−△)ℒv(η,t)=g(t,z(η,t)),(η,t)∈B1(0)×[0,∞),z(η,t)=0,v(η,t)=0,(η,t)∈B1c(
Wang Guotao, Wang Jing
doaj   +2 more sources

Radial symmetry, monotonicity and Liouville theorem for Marchaud fractional parabolic equations with the nonlocal Bellman operator

Advanced Nonlinear Studies
In this article, we focus on studying space-time fractional parabolic equations with the nonlocal Bellman operator and the Marchaud fractional derivative. To address the difficulty caused by the space-time non-locality of operator ∂tα−Fs ${\partial }_{t}^
Liu Mengru, Zhang Lihong, Wang Guotao
doaj   +2 more sources

SYMMETRY PROPERTIES OF MINIMIZERS OF A PERTURBED DIRICHLET ENERGY WITH A BOUNDARY PENALIZATION [PDF]

, 2022
We considerS 2-valued maps on a domain Ω C R N minimizing a perturbation of the Dirichlet energy with vertical penalization in Ω and horizontal penalization on Ω .
Di Fratta Giovanni, Slastikov V., Monteil A.   +2 more
core   +2 more sources

Symmetry and Monotonicity Property of a Solution of (p,q) Laplace Equation with Singular Term [PDF]

, 2023
This paper examines the behavior of a positive solution $u\in C^{1,\alpha}(\Bar{\Omega})$ of the $(p,q)$ Laplace equation with a singular term and zero Dirichlet boundary condition. Specifically, we consider the equation: \begin{equation*} -div(|\nabla u|
Jana, Ritabrata
core   +1 more source

Classification of radial solutions for fully nonlinear equations with Hardy potential [PDF]

We study existence, nonexistence and regularity of positive radial solutions for a class of nonlinear equations driven by Pucci extremal operators, power nonlinearity and Hardy weight.
Maia, Liliane, Nornberg, Gabrielle, Pacella, Filomena   +2 more
core   +2 more sources

Atomic‐Scale Visualization of Topotactic Resistive Switching in Epitaxial La0.5Sr0.5CoOx Neuromorphic Memristors

Advanced Functional Materials, EarlyView.
Forming‐free epitaxial Pt/La0.5Sr0.5CoOx (LSCO)/La0.5Sr0.5MnO3 (LSMO) memristors exhibit heterogeneous and partially reversible topotactic switching involving brownmillerite (BM)‐, Grenier (GN)‐like‐, and perovskite (PV)‐like configurations. Atomic‐resolution scanning transmission electron microscopy and in situ transmission electron microscopy resolve
Zi‐Qin Hong, Yen‐Jung Chen, Shih‐Chao Chang, Jui‐yuan Chen, Jan‐Chi Yang, Wen‐Wei Wu   +5 more
wiley   +1 more source

Proximity‐Tuned Magnetic and Transport Anomalies in All‐Epitaxial Fe5−xGeTe2/WSe2 Van der Waals Heterostructures

Advanced Functional Materials, EarlyView.
All‐epitaxial and scalable ferromagnetic/non‐magnetic Fe5−xGeTe2/WSe2 van der Waals (vdW) heterostructures exhibiting room‐temperature magnetism and perpendicular magnetic anisotropy (PMA) are realized. The system displays proximity‐tuned magnetic anisotropy, thickness‐dependent unconventional Hall effects, and temperature‐dependent sign reversal of ...
Hua Lv, Tauqir Shinwari, Kacho Imtiyaz Ali Khan, Jens Herfort, Chen Chen, Joan M. Redwing, Mehak Loyal, Gerhard Jakob, Mathias Kläui, Achim Trampert, Bernat Mundet, Belén Ballesteros, Manfred Ramsteiner, Roman Engel‐Herbert, Michael Hanke, João Marcelo J. Lopes   +15 more
wiley   +1 more source

Symmetry of the solutions of semilinear elliptic equations | Symétrie des solutions d'équations semi-linéaires elliptiques

, 1999
In this note, we present symmetry and monotonicity results corresponding to two cases where the classical theorem by B. Gidas, W.-M. Ni and L. Nirenberg does not apply. When the equation is non-autonomous, we introduce a comparison with a linear problem.
Felmer, P., Dolbeault, J.
core   +1 more source

Bistable Isochoric Chiral Metamaterials with Reprogrammable Multiaxial Responses

Advanced Functional Materials, EarlyView.
An isochoric bistable rotational unit cell enables in situ modification of internal contact conditions post‐fabrication, without altering the global envelope dimensions of the surrounding architecture. By selectively switching between open and closed states, the tessellated chiral metamaterial can reprogram its volumetric response, including bulk ...
Shujia Chen, Lei Wu, Jingran Liu, Damiano Pasini   +3 more
wiley   +1 more source

Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators

Advanced Materials, EarlyView.
Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng, Peng Zhang, Gang Qiu, Ting‐Hsun Yang, Chang Niu, Yaochen Li, Wenqiang Cui, Yang Feng, Peide D. Ye, Ke He, Kai Chang, Kang L. Wang   +11 more
wiley   +1 more source