Results 131 to 140 of about 8,991,569 (289)
Positive Radial Solutions for Singular Quasilinear Elliptic Equations in a Ball
We establish the existence of positive radial solutions for the boundary value problems \left\{ \begin{array}{rcll} -\Delta _{p}u&=&\lambda f(u)&\text{ in }B, \\ u&=&0&\text{ on }\partial B, \end{array} \right.
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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 +11 more
wiley +1 more source
A note on the radial solutions for the supercritical Hénon equation
We prove the existence of a positive radial solution for the Hénon equation with arbitrary growth. The solution is found by means of a shooting method and turns out to be an increasing function of the radial variable.
Simone Secchi +5 more
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On the structure of positive radial solutions for quasilinear equations in annular domains
The author investigates existence, multiplicity and nonexistence of positive radial solutions to boundary value problems for the quasilinear equation \(\text{div}(A(| \nabla u| \nabla u))+\lambda h(| x| )f(u)=0\) in annular domains under general assumptions on the function \(A(u)\) by making use of some fixed-point theorems for operators on a Banach ...
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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 +13 more
wiley +1 more source
Biodegradable 3D‐Printable and Coatable Antifouling Composites for Marine Applications
Marine biofouling damages submerged surfaces and raises greenhouse gas emissions. Biodegradable antifouling biocomposites were developed by hot‐mixing beeswax, Tween 80, and calcium stearate or stearic acid. Adjusting the component ratio enables processing via hot‐pressing, 3D‐printing, or dip‐coating.
Gabriele Corigliano +17 more
wiley +1 more source
Positive Radial Solutions for Semilinear Biharmonic Equations in Annular Domains
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
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Controlled carbonization of an Al‐MOF partially decomposes its linkers, exposing coordinatively unsaturated Al centers within an oxide/carbon composite. The resulting Lewis acid sites, rather than surface area, govern organochlorine capture: the composite removes chemically diverse organochlorines from waste plastic pyrolysis oil, outperforms a ...
Seong Cheon Kim +6 more
wiley +1 more source
A geometry‐reconfigured additive manufacturing strategy converts planar printed soft materials into soft compact neural probes with integrated hydrogel electrodes and microfluidic channels. The resulting NeuroMAP platform enables scalable multichannel recording, localized chemical delivery, stable in vivo electrophysiological recording, and reduced ...
Hyunjin Lee +15 more
wiley +1 more source
Genetic programming approaches for solving elliptic partial differential equations
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A. +5 more
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