Results 21 to 30 of about 129,456 (180)
On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type
Abstract and Applied Analysis, 2012 We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. We focus on the Ljusternik-Schnirelmann method, present one possible alternative to this method and compare it with the Courant-Fischer ...
Pavel Drábek
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MATEC Web of Conferences, 2017 The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I. +2 more
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Nonlinear eigenvalue problems for higher order Lidstone boundary value problems
Electronic Journal of Qualitative Theory of Differential Equations, 2000 In this paper, we consider the Lidstone boundary value problem $y^{(2m)}(t) = \lambda a(t)f(y(t), \dots, y^{(2j)}(t), \dots y^{(2(m-1))}(t), 0 < t < 1, y^{(2i)}(0) = 0 = y^{(2i)}(1), i = 0, ..., m - 1$, where $(-1)^m f > 0$ and $a$ is nonnegative. Growth
Paul Eloe
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, 2011 We compare the distribution function and the maximum of solutions of nonlinear elliptic equations defined in general domains with solutions of similar problems defined in a ball using Schwarz symmetrization.
Bonorino, Leonardo Prange +1 more
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A Full Multigrid Method for Nonlinear Eigenvalue Problems
, 2015 This paper is to introduce a type of full multigrid method for the nonlinear eigenvalue problem. The main idea is to transform the solution of nonlinear eigenvalue problem into a series of solutions of the corresponding linear boundary value problems on ...
Jia, Shanghui +3 more
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A study on anisotropic mesh adaptation for finite element approximation of eigenvalue problems with anisotropic diffusion operators [PDF]
, 2014 Anisotropic mesh adaptation is studied for the linear finite element solution of eigenvalue problems with anisotropic diffusion operators. The M-uniform mesh approach is employed with which any nonuniform mesh is characterized mathematically as a uniform
Huang, Weizhang, Wang, Jingyue
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Poiseuille Flow with Couple Stresses Effect and No-slip Boundary Conditions [PDF]
Journal of Applied and Computational Mechanics, 2020 In this paper, the problem of Poiseuille flow with couple stresses effect in a fluid layer using the linear instability and nonlinear stability theories is analyzed.
Akil J. Harfash, Ghazi A. Meften
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Perturbations of nonlinear eigenvalue problems
, 2018 We consider perturbations of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator plus an indefinite potential. We consider both sublinear and superlinear perturbations and we determine how the set of positive solutions changes ...
Papageorgiou, Nikolaos S. +2 more
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Oscillatory property of solutions to nonlinear eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2019 This paper is concerned with the nonlinear eigenvalue problem \begin{equation*} -u''(t) = \lambda \left(u(t) + g(u(t))\right), \quad u(t) > 0, \quad t \in I := (-1,1), \quad u(\pm 1) = 0, \end{equation*} where $g(u) = u^p\sin(u^q)$ ($0 \le p < 1$,
Tetsutaro Shibata
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Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems
Mathematics, 2023 To solve linear and nonlinear eigenvalue problems, we develop a simple method by directly solving a nonhomogeneous system obtained by supplementing a normalization condition on the eigen-equation for the uniqueness of the eigenvector.
Chein-Shan Liu +2 more
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