Results 1 to 10 of about 14,364 (164)
Nodal solutions of nonlocal boundary value problems
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 +2 more
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Nodal solutions for nonlinear Schrodinger systems
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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Constant sign and nodal solutions for parametric (p, 2)-equations
Papageorgiou Nikolaos S. +1 more
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Infinitely many nodal solutions for a class of quasilinear elliptic equations
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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Investigation of the modular building metal frame nodal connection rotational stiffness [PDF]
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 +2 more
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Approximate nonradial solutions for the Lane-Emden problem in the ball
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 +2 more
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Nodal solutions of weighted indefinite problems [PDF]
This paper analyzes the structure of the set of nodal solutions of a class of one-dimensional superlinear indefinite boundary values problems with an indefinite weight functions in front of the spectral parameter. Quite astonishingly, the associated high order eigenvalues might not be concave as it is the lowest one.
M. Fencl, J. López-Gómez
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Nodal Solutions for Supercritical Laplace Equations [PDF]
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F. Dalbono, M. Franca
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Resonant Anisotropic (p,q)-Equations
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 +1 more
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Nodal solutions for (𝑝,2)-equations
In this paper, we study a nonlinear elliptic equation driven by the sum of a p p -Laplacian and a Laplacian (
Aizicovici, S. +2 more
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