Asymptotic behavior of the eigenvalues of the one-dimensional weighted \(p\)-Laplace operator

DOI10.1007/BF02390815zbMath1037.35050MaRDI QIDQ1426925

Julián Fernández Bonder, Juan Pablo Pinasco

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Dirichlet or Neumann boundary conditionsspectral counting functionestimate of an remainderfirst term

Mathematics Subject Classification ID

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

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A nodal inverse problem for a quasi-linear ordinary differential equation in the half-line, Positive radial solutions of \(p\)-Laplace equations on exterior domains, A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights, Asymptotic of eigenvalues and lattice points, Eigenvalue distribution of second-order dynamic equations on time scales considered as fractals, Approximation of the second eigenvalue of the \(p\)-Laplace operator in symmetric domains, Convergence rate for some quasilinear eigenvalues homogenization problems, Energy dependent potential problems for the one dimensional \(p\)-Laplacian operator, Estimates for eigenvalues of quasilinear elliptic systems. II., The asymptotic behavior of nonlinear eigenvalues, Eigenvalues of the \(p\)-Laplacian in fractal strings with indefinite weights, On the asymptotic behavior of eigenvalues of the radial p-Laplacian, Precise asymptotic of eigenvalues of resonant quasilinear systems, Refined asymptotics for eigenvalues on domains of infinite measure, Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions

Cites Work

• Remainder estimates for the asymptotics of elliptic eigenvalue problems with indefinite weights
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
• An Example of a Two-Term Asymptotics for the "Counting Function" of a Fractal Drum
• On the Minkowski Measurability of Fractals
• Multiple Solutions for the p-Laplacian Under Global Nonresonance
• Can One Hear the Shape of a Drum?
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