Asymptotic of eigenvalues and lattice points

DOI10.1007/s10114-005-0761-8zbMath1122.35089OpenAlexW2082923854MaRDI QIDQ882721

Juan Pablo Pinasco

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0761-8

zbMATH Keywords

eigenvalues\(p\)-Laplacian operatorspectral counting function

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items

Refined asymptotics for eigenvalues on domains of infinite measure

Cites Work

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• The Selberg trace formula and the Riemann zeta-function
• Asymptotic behavior of the eigenvalues of the one-dimensional weighted \(p\)-Laplace operator
• Asymptotics for the spectrum of the Dirichlet laplacian on horn-shaped regions
• Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
• Counting function asymptotics and the weak Weyl-Berry conjecture for connected domains with fractal boundaries
• An Example of a Two-Term Asymptotics for the "Counting Function" of a Fractal Drum