Results 1 to 10 of about 13,793 (165)

Nodal solutions of nonlocal boundary value problems

Mathematical Modelling and Analysis, 2009
We study the nonlinear boundary value problem consisting of the second order differential equation on [a, b] and a boundary condition involving a Riemann‐Stieltjes integral. By relating it to the eigenvalues of a linear Sturm‐Liouville problem with a two‐
John Chamberlain, Lingju Kong, Qingkai Kong   +2 more
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Nodal solutions for nonlinear Schrodinger systems

Electronic Journal of Differential Equations
In this article we consider the nonlinear Schrodinger system $$\displaylines{ - \Delta u_j + \lambda_j u_j = \sum_{i=1}^k \beta_{ij} u_i^2 u_j, \quad \hbox{in } \Omega, \cr u_j ( x ) = 0,\quad \hbox{on } \partial \Omega , \; j=1,l\dots,k , }$$ where \(\Omega\subset \mathbb{R}^N \) (\(N=2,3\)) is a bounded smooth domain, \(\lambda_j> 0\), \(j=1 ...
Xue Zhou, Xiangqing Liu
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Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system

Electronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper, we consider the quasilinear Schrödinger system in $\mathbb R^{N}$ ($N\geq3$): \begin{equation*} \begin{cases} -\Delta u+ A(x)u-\frac{1}{2}\Delta(u^{2})u=\frac{2\alpha }{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta},\\ -\Delta v+ Bv-\frac{1}{2}\
Jianqing Chen, Qian Zhang
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Multiple nodal solutions of nonlinear Choquard equations

Electronic Journal of Differential Equations, 2017
In this article, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation $$\displaylines{ -\Delta u+u=(|x|^{-1}\ast|u|^p)|u|^{p-2}u \quad \text{in }\mathbb{R}^3,\cr u\in H^1(\mathbb{R}^3), }$$ where $p\in (5/2,5 ...
Zhihua Huang, Jianfu Yang, Weilin Yu
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Infinitely many nodal solutions for a class of quasilinear elliptic equations

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we study the existence of infinitely many nodal solutions for the following quasilinear elliptic equation \begin{equation*} \begin{cases} -\nabla\cdot\left[\phi'(|\nabla u|^2)\nabla u\right]+|u|^{\alpha-2}u=f(u) , \quad x\in \mathbb{R}^N,\\
Xiaolong Yang
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Multiple nodal solutions having shared componentwise nodal numbers for coupled Schrödinger equations [PDF]

Journal of Functional Analysis, 2021
39 ...
Li, Haoyu, Wang, Zhi-Qiang
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Investigation of the modular building metal frame nodal connection rotational stiffness [PDF]

E3S Web of Conferences, 2021
The research subject is the rotational stiffness of the modular building metal frame nodal connection. The stiffness of nodal connections has a significant impact on the results of calculating the load-bearing frame of a modular building.
Shirokov Vyacheslav, Veremeenko Oleg, Alpatov Vadim   +2 more
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Approximate nonradial solutions for the Lane-Emden problem in the ball

Advances in Nonlinear Analysis, 2021
In this paper we provide a numerical approximation of bifurcation branches from nodal radial solutions of the Lane Emden Dirichlet problem in the unit ball in ℝ2, as the exponent of the nonlinearity varies.
Fazekas Borbála, Pacella Filomena, Plum Michael   +2 more
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Nodal Solutions for Supercritical Laplace Equations [PDF]

Communications in Mathematical Physics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Dalbono, M. Franca
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Resonant Anisotropic (p,q)-Equations

Mathematics, 2020
We consider an anisotropic Dirichlet problem which is driven by the (p(z),q(z))-Laplacian (that is, the sum of a p(z)-Laplacian and a q(z)-Laplacian), The reaction (source) term, is a Carathéodory function which asymptotically as x±∞ can be resonant with
Leszek Gasiński, Nikolaos S. Papageorgiou   +1 more
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