Results 91 to 100 of about 3,081 (308)

Resultados de existência para equações elípticas com termos singulares

, 2013
Doutoramento em Matemática e AplicaçõesEsta dissertação estuda em detalhe três problemas elípticos: (I) uma classe de equações que envolve o operador Laplaciano, um termo singular e nãolinearidade com o exponente crítico de Sobolev, (II) uma classe de ...
Murillo, Kelly Patricia
core  

Clustered spots in the FitzHugh-Nagumo system

, 2004
We construct {\bf clustered} spots for the following FitzHugh-Nagumo system: \[\left\{\begin{array}{l}\ep^2\Delta u +f(u)-\delta v =0\quad \mbox{in} \ \Om,\\[2mm]\Delta v+ u=0 \quad \mbox{in} \ \Om,\\[2mm] u= v =0 \quad\mbox{on} \ \partial \Om, \end{
Winter, M, Juncheng Wei, Wei, Juncheng, Winter, Matthias, Matthias Winter, Wei, J   +5 more
core   +1 more source

Biodegradable Zn‐Based Implants: Progress, Challenges, and Pathways toward Clinical Translation

Advanced Science, EarlyView.
Exploring biodegradable Zn‐based implants offers a promising pathway to next‐generation biomedical devices with balanced degradation and biocompatibility. A comprehensive overview of biodegradable Zn‐based implants, covering their biological significance, material design principles, and advanced engineering strategies is provided.
Panfeng Zhao, Zhengquan Wang, Hui Yang, Xiyuan Zhang, Hanyuan Liu, Xiaotong Lu, Xiaocheng Li, Yanyan Liu, Xi Zhao, Wenhao Zhou, Yufeng Zheng   +10 more
wiley   +1 more source

On The Two Dimensional Gierer-Meinhardt system with strong coupling

, 1999
We construct solutions with a single interior condensation point for the two-dimensional Gierer-Meinhardt system with strong coupling. The condensation point is located at a nondegenerate critical point of the diagonal part of the regular part
Winter, M, Juncheng Wei, Matthias Winter, Wei, J   +3 more
core  

A Versatile‐Designable Framework for Active and Programmable Shape‐Morphing Soft Matter Systems: From Inverse Design to Closed‐Loop Control

Advanced Science, EarlyView.
A versatile framework integrates addressable electrothermal actuation and strain‐constraint mechanisms to construct programmable shape‐morphing soft matter systems. By combining an analytical inverse design strategy for high‐fidelity 3D surface reconstruction with deep learning‐based closed‐loop control, this approach enables zero‐energy shape locking,
Kai Liu, Peiling Xie, Ruitong Song, Banghan Liu, Rui Guo, Jiu‐an Lv   +5 more
wiley   +1 more source

Positive solutions for elliptic equations with singular nonlinearity

Electronic Journal of Differential Equations, 2005
We study an elliptic boundary-value problem with singular nonlinearity via the method of monotone iteration scheme: $$displaylines{ -Delta u(x)=f(x,u(x)),quad x in Omega,cr u(x)=phi(x),quad x in partial Omega , }$$ where $Delta$ is the Laplacian ...
Junping Shi, Miaoxin Yao
doaj  

Weighted Herz Spaces and Regularity Results

Journal of Function Spaces and Applications, 2012
It is proved that, for the nondivergence form elliptic equations ∑𝑛𝑖,𝑗=1𝑎𝑖𝑗𝑢𝑥𝑖𝑥𝑗=𝑓, if 𝑓 belongs to the weighted Herz spaces 𝐾𝑞𝑝(𝜑,𝑤), then 𝑢𝑥𝑖𝑥𝑗∈𝐾𝑞𝑝(𝜑,𝑤), where 𝑢 is the 𝑊2,𝑝-solution of the equations.
Yuxing Guo, Yinsheng Jiang
doaj   +1 more source

A Singular Semilinear Elliptic Equation with a Variable Exponent

Advanced Nonlinear Studies, 2016
Abstract In this paper we consider singular semilinear elliptic equations with a variable exponent whose model problem is
Carmona Tapia, José, Martínez Aparicio, Pedro Jesús   +1 more
openaire   +2 more sources

Chiral‐Induced Spin Selectivity Effect in a 1 nm Thin 1,1′‐Binaphthyl‐2,2′‐diyl Hydrogenphosphate Self‐Assembled Monolayer on Nickel Oxide

Advanced Science, EarlyView.
A self‐assembled monolayer (≈0.9 nm) of an axially chiral binaphthol phosphoric acid derivative on a ferromagnetic Ni/NiOx substrate shows chiral‐induced spin selectivity (CISS) magnetoresistance of 50%–80%. This thermally and chemically robust functional stack shows the way towards practical spintronic devices based on the CISS effect.
Abin Nas Nalakath, Christian Pfeiffer, Anu Gupta, Franziska Schölzel, Michael Zharnikov, Georgeta Salvan, Ron Naaman, Marc Tornow, Peer Kirsch   +8 more
wiley   +1 more source

Removable singular sets of fully nonlinear elliptic equations

Electronic Journal of Differential Equations, 1999
In this paper we consider fully nonlinear elliptic equations, including the Monge-Ampere equation and the Weingarden equation. We assume that $F(D^2u, x) = f(x) quad x in Omega,,$ $u(x) = g(x) quad xin partial Omega $ has a solution $u$ in $C^2(Omega ...
Lihe Wang, Ning Zhu
doaj