Results 141 to 150 of about 8,578,478 (315)

Positive radial solutions of p-Laplace equations with nonlinear gradient terms on annular domains

Demonstratio Mathematica
This paper discusses the existence of positive radial solutions for the boundary value problem of p-Laplace equation with nonlinear gradient ...
Li Yongxiang, Wang Tingting
doaj   +1 more source

Spatially Regulated Silicon Clusters in Trimodal Composite Anodes for High‐Energy Lithium‐Ion Batteries

Advanced Functional Materials, EarlyView.
A trimodal anode architecture spatially regulates silicon clusters within confined interstitial environments formed by graphite and contorted hexabenzocoronene. This confinement suppresses silicon aggregation and localized stress while enabling efficient Li‐ion transport, achieving high‐capacity, stable lithium‐ion batteries.
Jeongmi Joo, Minsung Kang, Seung Hak Oh, Jee Ho Ha, Hyunji Cha, Jimin Han, Ji‐Su Lim, Dae Hyeon Kwon, Won‐Jin Kwak, Sang Kyu Kwak, Seokhoon Ahn, Seok Ju Kang   +11 more
wiley   +1 more source

Behavior of positive radial solutions of a quasilinear equation with a weighted Laplacian

Electronic Journal of Differential Equations, 2001
We obtain a classification result for positive radially symmetric solutions of the semilinear equation $$ -mathop{m div}(ilde a(|x|)abla u)=ilde b(|x|)|u|^{delta-1}u, $$ on a punctured ball.
Marta Garcia-Huidobro
doaj  

Dimensionality‐Driven Interfacial Electronic Coupling in Carbon‐Supported Gd‐CuO Catalysts for Selective CO2 Electroreduction to Ethylene

Advanced Functional Materials, EarlyView.
The 2D carbon‐supported Gd–CuO exhibits strong interfacial electronic coupling, abundant oxygen vacancies, and highly exposed active sites, enabling efficient CO enrichment and C─C coupling toward selective and durable CO2‐to‐C2H4 conversion. ABSTRACT Copper‐based catalysts are promising for electrochemical CO2 reduction toward value‐added chemicals ...
Xueya Zhu, Binghao Shen, Mengshan Chen, Yue Hu, Ruijie Xia, Senwei Ji, Zhi Teng, Donglin Xie, Shunli Li, Xue Zhao, Hermenegildo Garciad, Yingtang Zhou   +11 more
wiley   +1 more source

A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated

Electronic Journal of Differential Equations, 2008
First, we prove that for Schrodinger radial systems the polar angular coordinate must satisfy $heta'= 0$. Then using radial symmetry, we transform the system into a generalized Ermakov-Pinney equation and prove the existence of positive periodic ...
Juan Belmonte-Beitia
doaj  

Uniqueness of positive radial solutions for a class of $(p,q)$-Laplacian problems in a ball

Electronic Journal of Qualitative Theory of Differential Equations
We prove the uniqueness of positive radial solution to the $(p,q)$-Laplacian problem \begin{equation*} \left\{ \begin{aligned} -\Delta _{p}u-\Delta _{q}u={}&\lambda f(u)\quad \text{in }\Omega , \\ u={}&0\quad \text{on }\partial \Omega ,% \end{aligned}%
Dang Dinh Hai, Xiao Wang
doaj   +1 more source

Deciphering the Photopolymerization‐Induced Nanostructures and Interface Formation for Submicrometer Additive Manufacturing

Advanced Functional Materials, EarlyView.
This work reveals the UV‐curing‐induced monomer‐rich domain, oligomer‐rich domain, and entangled oligomer domain. The cured submicron films in stressed state induce interlayer nano‐wrinkle structures during the deposition of the second layer. Stress‐free cured films in relaxed state form non‐diffusive, diffusive and semi‐diffusive interlayer ...
Shouzheng Chen, Yufeng Zhai, Jungui Zhou, Lixing Li, Simon Schraad, Guangjiu Pan, Xuehe Jiang, Sarathlal Koyiloth Vayalil, Rolf A. T. M. van Benthem, Julien R. G. Navarro, Johan F. G. A. Jansen, Mats K. G. Johansson, Peter Müller‐Buschbaum, Stephan V. Roth   +13 more
wiley   +1 more source

Existence of positive entire radial solutions to a $(k_1,k_2)$-Hessian systems with convection terms

Electronic Journal of Differential Equations, 2016
In this article, we prove two new results on the existence of positive entire large and bounded radial solutions for nonlinear system with gradient terms $$\displaylines{ S_{k_1}(\lambda (D^{2}u_1) )+b_1(| x| ) | \nabla u_1|^{k_1} =p_1(| x| ) f_1 ...
Dragos-Patru Covei
doaj  

Positive Radial Solutions for Semilinear Biharmonic Equations in Annular Domains

Revista Matemática Complutense, 1993
Summary: We study the existence of positive radial solutions of \(\Delta^ 2u= g(| x|) f(u)\) in an annulus with Dirichlet boundary conditions. We establish that the equation has at least one positive radially symmetric solution on any annulus if \(f\) and \(g\) are nonnegative, \(g\not\equiv 0\) and \(f\) is superlinear at zero and \(+\infty\). We also
openaire   +3 more sources

Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions

, 2021
In this work, we study the existence and nonexistence of positive radial solutions for the quasilinear equation $\mathrm{div}(A(|\nabla u|)\nabla u)+\lambda k(|x|)f(u)=0$ in the exterior of a ball with vanishing boundary conditions using an approach ...
Lorca, Sebastián, Guajardo, Juan C., Mahadevan, Rajesh   +2 more
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