BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN

DOI10.1142/S0129055X12500031zbMath1239.35105OpenAlexW2053215223MaRDI QIDQ2884801

Türkay Yolcu, Selma Yıldırım Yolcu

Publication date: 18 May 2012

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x12500031

zbMATH Keywords

eigenvaluefractional LaplaciantransformPólya's inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Fractional partial differential equations (35R11)

Related Items (8)

Berezin-Li-Yau inequalities on domains on the sphere ⋮ Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \) ⋮ Pólya's conjecture fails for the fractional Laplacian ⋮ Estimates on the eigenvalues of the clamped plate problem on domains in Euclidean spaces ⋮ Generalized tight \(p\)-frames and spectral bounds for Laplace-like operators ⋮ A short proof of Weyl's law for fractional differential operators ⋮ Refined bounds for the eigenvalues of the Klein-Gordon operator ⋮ Multidimensional lower bounds for the eigenvalues of Stokes and Dirichlet Laplacian operators

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• Two new Weyl-type bounds for the Dirichlet Laplacian
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