Results 1 to 10 of about 873 (53)
The spectra of the spherical and euclidean triangle groups [PDF]
Journal of the Australian Mathematical Society, 84 (2008),
217--227, 2007 We derive the spectrum of the Laplace-Beltrami operator on the quotient orbifold of the non hyperbolic triangle groups.Comment: accepted in the Journal of the Australian Mathematical ...
Cooper +6 more
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Spectral Stability of the Neumann Laplacian [PDF]
arXiv, 2001 We prove the equivalence of Hardy- and Sobolev-type inequalities, certain uniform bounds on the heat kernel and some spectral regularity properties of the Neumann Laplacian associated with an arbitrary region of finite measure in Euclidean space. We also
Burenkov, V. I., Davies, E. B.
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A pathological example in nonlinear spectral theory [PDF]
Advances in Nonlinear Analysis, 2017 We construct an open set Ω⊂ℝN{\Omega\subset\mathbb{R}^{N}} on which an eigenvalue problem for the p-Laplacian has no isolated first eigenvalue and the spectrum is not discrete.
Brasco Lorenzo, Franzina Giovanni
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Inequalities for selected eigenvalues of the product of matrices [PDF]
, 2019 The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues.
Xi, Bo-Yan, Zhang, Fuzhen
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Semi-classical States for Non-self-adjoint Schrodinger Operators [PDF]
, 1998 We prove that the spectrum of certain non-self-adjoint Schrodinger operators is unstable in the semi-classical limit. Similar results hold for a fixed operator in the high energy limit.
Davies, E B
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New bounds on the Lieb-Thirring constants [PDF]
, 1999 Improved estimates on the constants $L_{\gamma,d}$, for $1 ...
Hundertmark, D., Laptev, A., Weidl, T.
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Open Mathematics, 2023 In this article, we focus on the scattering analysis of Sturm-Liouville type singular operator including an impulsive condition and turning point. In the classical literature, there are plenty of papers considering the positive values of the weight ...
Çoşkun Nimet, Görgülü Merve
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Open Mathematics, 2023 A kind of fourth-order boundary value problem with eigenparameter-dependent boundary and transmission conditions is investigated. By constructing the characteristic function, we prove that the problems consist of a finite number of eigenvalues. We obtain
Zhang Na, Ao Ji-jun
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Normalized Laplacian Spectrum of Some Q-Coronas of Two Regular Graphs
Discussiones Mathematicae - General Algebra and Applications, 2021 In this paper we determine the normalized Laplacian spectrum of the Q-vertex corona, Q-edge corona, Q-vertex neighborhood corona, and Q-edge neighborhood corona of a connected regular graph with an arbitrary regular graph in terms of normalized Laplacian
Das Arpita, Panigrahi Pratima
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Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent
Nonautonomous Dynamical Systems, 2020 We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa +3 more
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