Results 61 to 70 of about 2,960,114 (284)
Nodal solutions for the double phase problems
, 2023 We consider a parametric nonautonomous $(p, q)$-equation with unbalanced growth as follows \begin{align*} \left\{ \begin{aligned} &-Δ_p^αu(z)-Δ_q u(z)=λ\vert u(z)\vert^{τ-2}u(z)+f(z, u(z)), \quad \quad \hbox{in }Ω,\\ &u|_{\partial Ω}=0, \end{aligned} \right.
Ji, Chao, Papageorgiou, Nikolaos S.
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NODAL SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS
, 2010 We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also given.
MOHAMMED BENALILI
core +1 more source
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source
Open Mathematics, 2015 In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations.
Baskonus Haci Mehmet, Bulut Hasan
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Flexible Sensors for Robotics Tactile Perception: A Review
Advanced Robotics Research, EarlyView.Flexible tactile sensing for robotics is reviewed through four interconnected dimensions. Physical mechanisms include piezoresistive, capacitive, piezoelectric, triboelectric, iontronic, and optical sensing. Structural design includes bioinspired, defect‐based, and MEMS‐based tactile systems.
Yu Song, Ying Chen, Yihao Chen, Xue Feng
wiley +1 more source
Nodal line structure of least energy nodal solutions for Lane–Emden problems
Comptes Rendus. Mathématique, 2009 In this Note, we consider the Lane–Emden problem − Δ u = λ 2
Grumiau, Christopher +1 more
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Multiplicity of nodal solutions to the Yamabe problem [PDF]
Calculus of Variations and Partial Differential Equations, 2017 Given a compact Riemannian manifold $(M,g)$ without boundary of dimension $m\geq 3$ and under some symmetry assumptions, we establish existence of one positive and multiple nodal solutions to the Yamabe-type equation $$-div_{g}(a\nabla u)+bu=c|u|^{2^{\ast}-2}u\quad on\ M$$ where $a,b,c\in C^{\infty}(M)$, $a$ and $c$ are positive, $-div_{g}(a\nabla)+b ...
Clapp, Mónica, Fernández, Juan Carlos
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Advanced Science, EarlyView.. ABSTRACT Neural presbycusis disrupts auditory timing and speech perception, yet its molecular basis remains poorly understood. This study identifies Cntn2 as the Ranvier's nodal molecule significantly downregulated in aged auditory nerves. Cntn2 heterozygous knockout (Cntn2+/−) mice showed elevated auditory brainstem response thresholds and prolonged
Penghui Chen +8 more
wiley +1 more source
Advanced Science, EarlyView.First‐principles calculations reveal that monolayer In2O${\rm In}_2{\rm O}$ hosts type‐II Dirac fermions near the Fermi level, which split into Weyl points under spin‐orbit coupling. The material exhibits negative and giant magnetoresistance, a pronounced spin Hall effect, and phonon‐mediated superconductivity at 1.5 K, establishing it as a unique ...
Qing‐Bo Liu +6 more
wiley +1 more source
Zhejiang Daxue xuebao. Lixue ban, 2016 We present a Dancer-type unilateral global bifurcation result for a class of fourth-order two-point boundary value problem x""+kx" +lx = λh(t）x+g(t, x，λ ...
SHENWenguo(沈文国)
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