Results 61 to 70 of about 8,945 (319)
Weghted Lorentz and Lorentz-Morrey estimates to viscosity solutions of fully nonlinear elliptic equations [PDF]
, 2018 We prove a global weighted Lorentz and Lorentz-Morrey estimates of the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equation $F(D^{2}u,x)=f(x)$ defined in a bounded $C^{1,1}$ domain.
Junjie Zhang,Shenzhou Zheng
core +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 +2 more
doaj
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
Mathematics, 2020 This study addresses the free vibration analysis of nonlinear structural-acoustic system with non-rigid boundaries. In practice, the boundaries of a panel–cavity system are usually imperfectly rigid.
Yiu-yin Lee
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Advanced Materials Technologies, EarlyView.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
Nonlinear degenerate elliptic equations with measure data [PDF]
, 2007 summary:In this paper we prove existence results for some nonlinear degenerate elliptic equations with data in the space of bounded Radon measures and we improve the results already obtained in Cirmi G.R., {\it On the existence of solutions to non-linear
Li, Fengquan
core
Alexandria Engineering Journal, 2020 In this work three recently introduced (3 + 1)-dimensional nonlinear modified Benjamin-Bona-Mahony equations are studied from the modern group-theoretical analysis standpoint.
Chaudry Masood Khalique +1 more
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Advanced Materials Technologies, EarlyView.A flexible pressure sensor utilizing a 3D dual‐pore polyurethane structure is developed to overcome the intrinsic trade‐off between sensitivity and linearity. By inducing sequential buckling through distinct pore sizes and shapes, the device achieves highly linear and sensitive responses across a wide pressure range.
Jae Yeong Jang, Jaemin Choi, Young Jung
wiley +1 more source
On‐Chip Saturated Absorption of CO2 in a Silicon‐on‐Sapphire Waveguide
Advanced Optical Materials, EarlyView.We demonstrate the first saturated absorption of a molecular gas on a planar photonic chip. By coupling carbon dioxide with the tightly confined light of a silicon‐on‐sapphire waveguide, we achieve optical saturation using only milliwatt powers. This breakthrough provides a practical, low‐power foundation for creating ultra‐compact mid‐infrared ...
Shahar Edelstein +2 more
wiley +1 more source
Nonlinear Stability for Dissipative Nonlinear Evolution Equations with Ellipticity
Journal of Mathematical Analysis and Applications, 1999 The paper deals with the coupled system \[ \psi_t=-(1-\alpha)\psi-\sigma \theta_x +\alpha\psi_{xx}, \] \[ \theta_t=-(1-\alpha)\theta+\nu \psi_x +2\psi \theta_{x}+\alpha\theta_{xx}, \] where \(\alpha\) and \(\nu\) are positive numbers. This set of equations singles out the essential mechanism of nonlinear interaction between ellipticity and dissipation.
Tang, Shaoqiang, Zhao, Huijiang
openaire +2 more sources