Results 51 to 60 of about 366,215 (335)

Modified Elliptic Integral Approach for the Forced Vibration and Sound Transmission Analysis of a Nonlinear Panel Backed by a Partitioned Cavity

Mathematics, 2022
This article is the further work of previous papers and also the first study to adopt the elliptic integral approach to solve the forced nonlinear structural acoustic problem.
Yiu-Yin Lee
doaj   +1 more source

Selective Color Appearance of Liquid‐Crystal‐Aided Laser‐Induced Periodic Surface Structures

Advanced Optical Materials, EarlyView.
Self‐assembled nano trenches on transparent electrodes are produced by irradiating femtosecond laser, and then combined with liquid crystal, showing brilliant selective color, which is electronically switchable. The nano trenches diffract light, and those totally internally reflected light propagates in the liquid crystal cell.
Jia‐Pei Hsieh, Jing‐Gue Chang, Chih‐Yuan Tu, Kue‐Yo Chen, Yu‐Yuan Chen, Chun‐Hsiang Tseng, Vera Marinova, Shiuan‐Huei Lin, Hui‐Hsin Hsiao, Chih‐Wei Luo, Jieh‐Wen Tsung   +10 more
wiley   +1 more source

Picone-type inequalities for nonlinear elliptic equations with first-order terms and their applications

Journal of Inequalities and Applications, 2006
Picone-type inequalities are established for nonlinear elliptic equations which are generalizations of nonself-adjoint linear elliptic equations, and Sturmian comparison theorems are derived as applications.
Takaŝi Kusano, Yoshida Norio, Jaroš Jaroslav   +2 more
doaj  

New Jacobi Elliptic Function Solutions for the Zakharov Equations

Journal of Applied Mathematics, 2012
A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations.
Yun-Mei Zhao
doaj   +1 more source

Chemical Substitution‐Driven Design of a High‐Performance Noncentrosymmetric Bismuth Molybdenum Selenite

Advanced Optical Materials, EarlyView.
The first bismuth molybdenum selenite material with a macroscopic noncentrosymmetric structure is designed using a chemical substitution‐oriented approach and successfully synthesized via a hydrothermal reaction. It exhibits exceptionally well‐balanced nonlinear optical properties, including a s efficiency that is 1.2 times that of KTiOPO4, a suitable ...
Hieu Minh Ngo, Yunseung Kuk, Jihyun Lee, Jiachen Lu, Zhiyong Bai, Chun‐Li Hu, Kang Min Ok   +6 more
wiley   +1 more source

Regularity for nonlinear elliptic equations and systems

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020
We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→R is a convex Carathéodory integrand; i.e., f=f (x,ξ) is measurable with respect to x∈R^n and it is
openaire   +4 more sources

Optical Wireless Communications with Metasurfaces: Current Status and Potential for Intelligent Communications

Advanced Photonics Research, EarlyView.
Optical wireless communications (OWCs) provide a promising alternative to spectrum‐congested microwave wireless communications. Recently, the use of metasurfaces with sub‐wavelength features for dynamic beam steering, beam manipulation, and spatial or optical‐angular‐momentum mode generation, conversion, and multiplexing in OWCs is proposed and ...
Ke Wang, Chengwei Fang, Md Osman Ali, Xiaojun Chen, Safa Alghadi, Shuo Li, Jiayuan He, Sithamparanathan Kandeepan   +7 more
wiley   +1 more source

Nonzero positive solutions of fractional Laplacian systems with functional terms

Mathematische Nachrichten, Volume 296, Issue 1, Page 102-121, January 2023., 2023
Abstract We study the existence of nonzero positive solutions of a class of systems of differential equations driven by fractional powers of the Laplacian. Our approach is based on the notion of fixed point index, and allows us to deal with nonlocal functional weights and functional boundary conditions. We present two examples to shed light on the type
Stefano Biagi, Alessandro Calamai, Gennaro Infante   +2 more
wiley   +1 more source

Picone-type inequalities for nonlinear elliptic equations and their applications

Journal of Inequalities and Applications, 2001
Picone-type inequalities are derived for nonlinear elliptic equations, and Sturmian comparison theorems are established as applications. Oscillation theorems for forced super-linear elliptic equations and superlinear-sublinear elliptic equations are ...
Takaŝi Kusano, Yoshida Norio, Jaroš Jaroslav   +2 more
doaj  

A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation

Journal of Applied Mathematics, 2012
With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some ...
Yafeng Xiao, Haili Xue, Hongqing Zhang
doaj   +1 more source