Generic properties of eigenvalues of the fractional Laplacian

DOI10.1007/s00526-023-02574-8zbMath1528.35030arXiv2304.07335OpenAlexW4386981646MaRDI QIDQ6077932

Angela Pistoia, Marco Ghimenti, Mouhamed Moustapha Fall, Anna Maria Micheletti

Publication date: 27 September 2023

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.07335

zbMATH Keywords

Dirichlet problemeigenvaluesfractional powers of the Laplacian

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fractional partial differential equations (35R11)

Cites Work

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• Perturbazione dello spettro di un operatore ellittico di tipo variazionale, in relazione ad una variazione del campo
• On the persistence of the multiplicity of eigenvalues for some variational elliptic operator depending on the domain
• Variational Methods for Nonlocal Fractional Problems
• Spectral properties of the Cauchy process on half-line and interval
• Generic Properties of Eigenfunctions
• Eigenvalue Bounds for the Fractional Laplacian: A Review

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