Viewing the Steklov Eigenvalues of the Laplace Operator as Critical Neumann Eigenvalues [PDF]
, 2015 We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of boundary mass concentration. We discuss the asymptotic behavior of the Neumann eigenvalues in a ball and we deduce that the Steklov eigenvalues ...
PROVENZANO, LUIGI +3 more
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Isoperimetric inequalities for -Hessian equations
Advances in Nonlinear Analysis, 2012 We consider the homogeneous Dirichlet problem for a special -Hessian equation of sub-linear type in a -convex domain , . We study the comparison between the solution of this problem and the (radial) solution of the corresponding problem in a ball having ...
Mohammed Ahmed +2 more
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On the Extended Adjacency Eigenvalues of a Graph
InformationLet H be a graph of order n with m edges. Let di=d(vi) be the degree of the vertex vi. The extended adjacency matrix Aex(H) of H is an n×n matrix defined as Aex(H)=(bij), where bij=12didj+djdi, whenever vi and vj are adjacent and equal to zero otherwise.
Alaa Altassan +2 more
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Factor analysis of correlation matrices when the number of random variables exceeds the sample size
Statistical Theory and Related Fields, 2017 Factor analysis which studies correlation matrices is an effective means of data reduction whose inference on the correlation matrix typically requires the number of random variables, p, to be relatively small and the sample size, n, to be approaching ...
Miguel Marino, Yi Li
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Bienenfeld’s approximation of production prices and eigenvalue distribution: some more evidence from five European economies [PDF]
This paper tests Bienenfeld’s polynomial approximation of production prices using data from ten symmetric input-output tables of five European economies.
Iliadi, Fotoula +3 more
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Representation of the norming constants by two spectra
Electronic Journal of Differential Equations, 2010 The representation of the norming constants by 2 spectra was studied by Levitan, Gasymov (and others) for the Sturm-Liouville problem with boundary conditions $y(0)cosalpha +y'(0)sinalpha=0$, $y(pi)coseta+y'(pi)sineta =0$, when $sin alpha eq 0$ and $
Tigran N. Harutyunyan
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Calculation of Complex Eigenvalues for Axisymmetric Problems in Eddy Current Testing [PDF]
In the present paper we consider the solution of the eigenvalue problem for the following three cases: (1) a coil with alternating current above a conducting cylinder of finite size, (2) a coil above a conducting plate with bottom cylindrical hole and (3)
Koliškina, Valentīna, Volodko, Inta
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On an eigenvalue problem associated with the (p, q) − Laplacian
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet Ω ⊂ ℝN, N ≥ 2, be a bounded domain with smooth boundary ∂Ω. Consider the following generalized Robin-Steklov eigenvalue problem associated with the operator 𝒜u = − Δpu − Δqu {𝒜u+ρ1(x)|u|p-2u+ρ2(x)|u|q-2u=λα(x)|u|r-2u, x∈Ω,∂u∂vA+γ1(x)|u|p-2u+γ2(x)|u|
Barbu Luminiţa +2 more
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Transmission Eigenvalues [PDF]
SIAM Journal on Mathematical Analysis, 2008 Lassi Päivärinta, John Sylvester 0002
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An eigenvalue problem possessing a continuous family of eigenvalues plus an isolated eigenvalue
Communications on Pure and Applied Analysis, 2011 In this paper we analyze an eigenvalue problem, involving a homogeneous Neumann boundary condition, in a smooth bounded domain. We show that the problem possesses, on the one hand, a continuous family of eigenvalues and, on the other hand, exactly one more eigenvalue which is isolated in the set of eigenvalues of the problem.
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