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Eigenvalues of Schrödinger operators with definite and indefinite weights

Applied Mathematics and Computation, 2014
In this paper computational algorithms are presented to compute the eigenvalues of Schrodinger operators with definite and indefinite weights. The algorithms are based on Titchmarsh-Weyl's theory and can be applied to solve a wide class of problems in quantum mechanics.
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Elliptic Problems Involving an Indefinite Weight Function

1996
We consider an elliptic boundary value problem defined on a region Ω ⊂ ℝn and involving an indefinite weight function ω. We also suppose that the problem under consideration admits a variational formulation. Then by appealing to the theory of selfadjoint operators acting in a Krein space, we derive various spectral properties for the problem.
H. Langer, M. Faierman
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L∞ bounds of eigenfunctions with an indefinite weight function

Applied Mathematics Letters, 2021
Jian-Wen Sun, Yan-Hua Xing
semanticscholar   +1 more source

Existence and bifurcation of periodic solutions to the L-Minkowski problem with indefinite weight

Journal of Mathematical Analysis and Applications
Zhibo Cheng, Chenyang Xia, Qigang Yuan
semanticscholar   +1 more source

Elliptic eigenvalue problems with an indefinite weight function

2001
The author considers selfadjoint elliptic eigenvalue problems of the form \(Lu= \lambda g(x)u\), \(B_j u=0 \;(j=\overline{1,m})\) on \(\Gamma \), where \(L\) is an elliptic operator of order \(2m\) defined on a bounded open set \( G \subset\mathbb R^n\) (\(n \geq 1\)) with boundary \(\Gamma \), the \(B_j\)'s are linear differential operators defined on
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