On Persson's theorem in local Dirichlet spaces

DOI10.4171/ZAA/825zbMath0908.31004OpenAlexW2091049227MaRDI QIDQ1393096

Gabriele Grillo

Publication date: 10 March 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/825

zbMATH Keywords

essential spectrumbounds for eigenfunctionselliptic differential operators in divergence formirreducible Dirichlet formlocal Dirichlet spacesPersson's theoremsmall eigenfunctions

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Dirichlet forms (31C25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Local spectral properties of linear operators (47A11)

Related Items (6)

On Persson's formula: an étale groupoid approach ⋮ Hardy-Poincaré inequalities and applications to nonlinear diffusions ⋮ Spectral inequalities for operators on \(H\)-type groups ⋮ Functional inequalities for empty essential spectrum ⋮ On the decomposition principle and a Persson type theorem for general regular Dirichlet forms ⋮ Sobolev-Orlicz imbeddings, weak compactness, and spectrum

Cites Work

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• Asymptotic behaviour of relaxed Dirichlet problems involving a Dirichlet-Poincaré form
• Pointwise properties of eigenfunctions and heat kernels of Dirichlet-Schrödinger operators
• Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.

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