Results 91 to 100 of about 456,102 (333)

An Interior Gradient Estimate for a class of Second Order Partial Differential Inequalities [PDF]

open access: yesarXiv, 2010
A uniform gradient for functions u which satisfy a system of N second-order partial differential inequalities is given in this paper. Some structure conditions are given for the coefficients of the matrices of second-order terms and of first-order terms.
arxiv  

In Situ Manipulation of Growth Mechanisms in the Vapor–Solid–Solid Growth of GaP Nanowires

open access: yesAdvanced Materials Interfaces, EarlyView.
The direct observation of the Ni‐assisted GaP nanowire growth process via transmission electron microscopy reveals two different growth mechanisms by Trimethylgallium (TMGa) precursor supply variations. The decrease of TMGa flow results in the formation of Ni2P phase as growth promoters with cation exchange reaction in addition to interface diffusion ...
Tianyi Hu   +6 more
wiley   +1 more source

Further results about the exact solutions of conformable space–time fractional Boussinesq equation (FBE) and breaking soliton (Calogero) equation

open access: yesResults in Physics, 2022
Seeking for the exact solutions of fractional nonlinear partial differential equations (FNPDE) has penetrated into almost every discipline of the natural, engineering, mathematics, and social sciences.
Hongyu Chen, Qinghao Zhu, Jianming Qi
doaj  

The complexity of numerical methods for elliptic partial differential equations

open access: yesJournal of Computational and Applied Mathematics, 1978
AbstractWe consider three Ritz-Galerkin procedures with Hermite bicubic, bicubic spline and linear triangular elements for approximating the solution of self-adjoint elliptic partial differential equations and a collocation with Hermite bicubics method for general linear elliptic equations defined on general two dimensional domains with mixed boundary ...
openaire   +3 more sources

Self‐Organized Growth of Catalyst‐Free Single Crystal WnO3n‐2 (n = 25) Nanowire Bundles on Si (111) via Selective He+ Ion Irradiation

open access: yesAdvanced Materials Interfaces, EarlyView.
A novel and efficient method is explored to synthesize 1D single‐crystal sub‐stoichiometric WnO3n‐2 (n = 25) nanowire bundles. The approach utilizes selective low‐energy He+ ion irradiation (27 eV) on Mo‐Ni doped WOx surface, achieving efficient catalyst‐free self‐organized growth of high aspect ratio nanowires at the temperature of 700 °C.
Maryna Bilokur   +3 more
wiley   +1 more source

Stopping a Multilayered Co‐Axial Flow in a 3D Printed Microchannel with Cascaded Nozzles

open access: yesAdvanced Materials Technologies, EarlyView.
A microfluidic device with cascaded nozzles is 3D‐printed using two‐photon polymerization. Its microchannel, featuring integrated nozzles, sculpts multilayered co‐axial flows, enabling independent regulation of four co‐flowing streams to achieve variable layer thicknesses.
Helen Werner   +7 more
wiley   +1 more source

Boundary value problems for elliptic partial differential equations [PDF]

open access: yesarXiv, 2019
This course is intended as an introduction to the analysis of elliptic partial differential equations. The objective is to provide a large overview of the different aspects of elliptic partial differential equations and their modern treatment. Besides variational and Schauder methods we study the unique continuation property and the stability for ...
arxiv  

Polarization‐Dependent Color Modulation in Electrodeposited Cellulose Nanocrystals and Birefringent Multilayers

open access: yesAdvanced Optical Materials, EarlyView.
This work demonstrates that wavelength selective reflection of circularly polarized light (CPL) of both handedness (right‐R or left‐L) can be achieved from self‐assembled cellulose nanocrystals (CNCs), breaking the inherent limitation of obtaining only L‐CPL reflection.
Alexandre Fonseca   +7 more
wiley   +1 more source

Existence of solutions to nonhomogeneous Dirichlet problems with dependence on the gradient

open access: yesElectronic Journal of Differential Equations, 2018
The goal of this article is to explore the existence of positive solutions for a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Dirichlet boundary condition.
Yunru Bai
doaj  

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