Results 51 to 60 of about 12,585,660 (209)
Results in Applied MathematicsThe differential operator eigenvalue problems often arise in the field of physics and engineering, such as solid band structure, electron orbitals of atoms or molecules, and quantum bound states.
Jiaoxia Huang, Yonghui Qin
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Numerical Solutions of Quantum Mechanical Eigenvalue Problems
Frontiers in Physics, 2020 A large class of problems in quantum physics involve solution of the time independent Schrödinger equation in one or more space dimensions. These are boundary value problems, which in many cases only have solutions for specific (quantized) values of the ...
Asif Mushtaq +2 more
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A full multigrid method for eigenvalue problems [PDF]
Journal of Computational Physics, 2014 A multigrid method is proposed to solve the eigenvalue problem by the finite element method based on the combination of the multilevel correction scheme for the eigenvalue problem and the multigrid method for the boundary value problem.
Hongtao Chen, He-Hu Xie, Fei Xu
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Green functions for four-point boundary value problems with applications to heterogeneous beams
Applications in Engineering ScienceThe main objective of this study is to define the Green functions for four-point boundary value problems. It is a further aim to clarify what properties the Green functions have and to present a method for calculating the elements of these Green ...
Abderrazek Messaoudi +2 more
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On the second eigenvalue of nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2018 This article is devoted to the characterization of the second eigenvalue of nonlinear eigenvalue problems. We propose an abstract approach which allows to treat nonsmooth quasilinear problems and also to recover, in a unified way, previous results ...
Marco Degiovanni, Marco Marzocchi
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Biharmonic eigen-value problems and Lp estimates
International Journal of Mathematics and Mathematical Sciences, 1990 Biharmonic eigen-values arise in the study of static equilibrium of an elastic body which has been suitably secured at the boundary. This paper is concerned mainly with the existence of and Lp-estimates for the solutions of certain biharmonic boundary ...
Chaitan P. Gupta, Ying C. Kwong
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On the Perturbed Eigenvalue Problem
Journal of Mathematical Analysis and Applications, 1995 The author considers the perturbed eigenvalue problem \(L(x) v(x)= \lambda(x) v(x)\) near \(0= x\in \mathbb{R}\) with \(L(x)\) a Fredholm operator of index zero. Using the implicit function theorem and the bordering lemma, he derives a necessary and sufficient smoothness condition for the characteristic pairs \((\lambda(x), v(x))\) with eigenvalue ...
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The octonionic eigenvalue problem
Advances in Applied Clifford Algebras, 1998 plain TeX (uses AMS fonts), 18 pages, 1 PS figure included with ...
Dray, Tevian, Manogue, Corinne A.
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Nonlinear Eigenvalue Problems for the Dirichlet (p,2)-Laplacian
Axioms, 2022 We consider a nonlinear eigenvalue problem driven by the Dirichlet (p,2)-Laplacian. The parametric reaction is a Carathéodory function which exhibits (p−1)-sublinear growth as x→+∞ and as x→0+.
Yunru Bai +2 more
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On eigenvalue problems arising from nonlocal diffusion models
, 2016 We aim at saying as much as possible about the spectra of three classes of linear diffusion operators involving nonlocal terms. In all but one cases, we characterize the minimum \begin{document} $λ_p$ \end{document} of the real part of the spectrum in ...
Fang Li, J. Coville, Xuefeng Wang
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