Results 1 to 10 of about 325 (47)
The Monotonicity of the Principal Frequency of the Anisotropic p-Laplacian
Comptes rendus. Mathematique, 2022 Let D > 1 be a fixed integer. Given a smooth bounded, convex domain Ω⊂RD and H :RD → [0,∞) a convex, even, and 1-homogeneous function of class C 3,α(RD \ {0}) for which the Hessian matrix D2(H p ) is positive definite in RD \ {0} for any p ∈ (1,∞), we ...
M. Bocea +2 more
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Estimates for eigenvalues of the Neumann and Steklov problems
Advances in Nonlinear Analysis, 2023 We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov problem and of the Laplacian, which ...
Du Feng +4 more
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Boundary Value Problems, 2014 In this paper we introduce and investigate the eigenvalues and the normalizing numbers as well as the scattering function for some version of the one-dimensional Schrödinger equation with turning point on the half line.MSC:58C40, 34L25.
Zaki F. A. El-Raheem, A. Nasser
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Almost all Steiner triple systems are almost resolvable
Forum of Mathematics, Sigma, 2020 We show that for any n divisible by 3, almost all order-n Steiner triple systems admit a decomposition of almost all their triples into disjoint perfect matchings (that is, almost all Steiner triple systems are almost resolvable).
Asaf Ferber, Matthew Kwan
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On the spectrum of the twisted Dolbeault Laplacian over K\"ahler manifolds [PDF]
, 2008 We use Dirac operator techniques to a establish sharp lower bound for the first eigenvalue of the Dolbeault Laplacian twisted by Hermitian-Einstein connections on vector bundles of negative degree over compact K\"ahler manifolds.Comment: 14 pages ...
Jardim M. +2 more
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On the degeneration of the Frölicher spectral sequence and small deformations
Complex Manifolds, 2020 We study the behavior of the degeneration at the second step of the Frölicher spectral sequence of a 𝒞∞ family of compact complex manifolds. Using techniques from deformation theory and adapting them to pseudo-differential operators we prove a result à ...
Maschio Michele
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First Eigenvalues of Geometric Operators under the Ricci Flow [PDF]
, 2008 In this paper, we prove that the first eigenvalues of $-\Delta + cR$ ($c\geq \frac14$) is nondecreasing under the Ricci flow. We also prove the monotonicity under the normalized flow for the case $c=1/4$, and $r\le 0$.Comment: 5 pages, add one more ...
Cao, Xiaodong
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on
Sabatini Luca
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On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups [PDF]
, 2019 Eldredge, Gordina and Saloff-Coste recently conjectured that, for a given compact connected Lie group $G$, there is a positive real number $C$ such that $\lambda_1(G,g)\operatorname{diam}(G,g)^2\leq C$ for all left-invariant metrics $g$ on $G$.
Lauret, Emilio Agustin
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The Diagonalizable Nonnegative Inverse Eigenvalue Problem
Special Matrices, 2018 In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
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