Results 61 to 70 of about 2,831,728 (287)
Doubling Inequality and Nodal Sets for Solutions of Bi-Laplace Equations [PDF]
, 2019 We investigate the doubling inequality and nodal sets for the solutions of bi-Laplace equations. A polynomial upper bound for the nodal sets of solutions and their gradient is obtained based on the recent development of nodal sets for Laplace ...
Zhu, Jiuyi
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Multi-bump type nodal solutions having a prescribed number of nodal domains: II
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2005 This paper is a sequel to [Liu and Wang, preprint] in which we studied nodal property of multi-bump type sign-changing solutions constructed by Coti Zelati and Rabinowitz [Comm. Pure Appl. Math. 45 (1992) 1217]. In this paper we remove a technical condition that the nonlinearity is odd, which was used in [Comm. Pure Appl. Math.
Liu, Zhaoli, Wang, Zhi-Qiang
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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
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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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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 and constant sign solutions for singular elliptic problems [PDF]
, 2023 We establish the existence of multiple solutions for singular quasilinear elliptic problems with a precise sign information: two opposite constant sign solutions and a nodal solution.
Motreanu, Dumitru, Moussaoui, Abdelkrim
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Multiplicity of positive and nodal solutions for scalar field equations
Journal of Differential Equations, 2014 The authors are concerned with the scalar field equation \(-\Delta u+a(x) u=|u|^{p-2}u\) in \({\mathbb R}^N\), where \(N\geq 2 ...
Giovanna Cerami +2 more
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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
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Least energy nodal solutions for Kirchhoff-type problems involving the critical exponents
Bulletin of Mathematical SciencesIn this paper, we concern the existence of sign-changing solutions for the following Kirchhoff-type problems with critical growth: −a+b∫Ω|∇u|2dxΔu=μ|u|q−2u+|u|4uin Ω,u=0on ∂Ω.
Binlin Zhang, Junshan Tian, Xiumei Han
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Journal of Inequalities and Applications, 2023 In this paper, we are concerned with elliptic problems { − Δ u = f ( u ) + g ( | x | , u , x | x | ⋅ ∇ u ) , x ∈ Ω , u | ∂ Ω = 0 , $$ \textstyle\begin{cases} -\Delta u= f(u)+ g( \vert x \vert ,u,\frac{x}{ \vert x \vert }\cdot \nabla u),&x\in \Omega ...
Yan Zhu, Ruyun Ma, Xiaoxiao Su
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