Basisness of Fucik eigenfunctions for the Dirichlet Laplacian

zbMath1495.34116arXiv2111.08329MaRDI QIDQ5866539

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Publication date: 22 September 2022

Full work available at URL: https://arxiv.org/abs/2111.08329

zbMATH Keywords

Riesz basisFučík spectrumPaley-Wiener stabilityFučík eigenfunctions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Parameter dependent boundary value problems for ordinary differential equations (34B08) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Basis properties of Fučík eigenfunctions for the Neumann Laplacian

Cites Work

• Basis properties of Fučik eigenfunctions
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Boundary value problems with jumping nonlinearities
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
• Some notes on an expansion theorem of Paley and Wiener
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