Results 41 to 50 of about 31,181 (267)
Advanced Engineering Materials, EarlyView.This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo +3 more
wiley +1 more source
Inverse nodal problem for a class of nonlocal sturm‐liouville operator
Mathematical Modelling and Analysis, 2010 Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
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Advanced Engineering Materials, EarlyView.In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
wiley +1 more source
Boundary Value Problems, 2020 This paper deals with the following Kirchhoff–Schrödinger–Poisson system: { − ( a + b ∫ R 3 | ∇ u | 2 d x ) Δ u + V ( x ) u + ϕ u = K ( x ) f ( u ) in R 3 , − Δ ϕ = u 2 in R 3 , $$ \textstyle\begin{cases} -(a+b\int _{\mathbb{R}^{3}} \vert \nabla u ...
Jin-Long Zhang, Da-Bin Wang
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Nodal Properties of Solutions of Parabolic Equations
Rocky Mountain Journal of Mathematics, 1991 We review some known facts about the zero set of a solution of a scalar parabolic equation \(u_ t=a(x,t)u_{xx}+b(x,t)u_ x+c(x,t)u\), \(x_ ...
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Advanced Functional Materials, EarlyView.This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger +11 more
wiley +1 more source
Nodal solutions for sixth-order m-point boundary-value problems using bifurcation methods
Electronic Journal of Differential Equations, 2012 We consider the sixth-order $m$-point boundary-value problem $$displaylines{ u^{(6)}(t)=fig(u(t), u''(t), u^{(4)}(t)ig),quad tin(0,1),cr u(0)=0, quad u(1)=sum_{i=1}^{m-2}a_iu(eta_i),cr u''(0)=0, quad u''(1)=sum_{i=1}^{m-2}a_iu''(eta_i),cr u^{(4)}(0)=
Yude Ji +3 more
doaj
Nodal solutions of perturbed elliptic problem
, 2008 Multiple nodal solutions are obtained for the elliptic problem $$ \begin{alignat}{2} -\Delta u&=f(x, u)+\varepsilon g(x, u)&\quad& \text{in } \Omega,\\ u&=0&\quad& \text{on } \partial \Omega , \end{alignat} $$ where $\varepsilon $ is a parameter, $\Omega $ is a smooth bounded domain in ${{\mathbb R}}^{N}$, $f\in C(\overline{\Omega }\times {{\mathbb R}})
Li, Yi, Liu, Z., Zhao, C.
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Advanced Functional Materials, EarlyView.Guided by the golden ratio, a class of aperiodic architected metamaterials is introduced to address the intrinsic trade‐off between strength and toughness. By unifying local geometric heterogeneity with global order, the golden‐ratio‐guided aperiodic architecture promotes spatial delocalization of damage tolerence regions, leading to more tortuous ...
Junjie Deng +9 more
wiley +1 more source
An upper bound for the least energy of a sign-changing solution to a zero mass problem
Advanced Nonlinear StudiesWe give an upper bound for the least possible energy of a sign-changing solution to the nonlinear scalar field equation −Δu=f(u),u∈D1,2(RN), $-{\Delta}u=f\left(u\right), u\in {D}^{1,2}\left({\mathrm{R}}^{N}\right),$ where N ≥ 5 and the nonlinearity f is
Clapp Mónica +2 more
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