On the Fučík spectrum of the scalar \(p\)-Laplacian with indefinite integrable weights

DOI10.1186/1687-2770-2014-10zbMath1306.34029OpenAlexW2036454340WikidataQ59319551 ScholiaQ59319551MaRDI QIDQ467845

Ping Yan, Meirong Zhang, Jifeng Chu, Wei Chen

Publication date: 5 November 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-10

zbMATH Keywords

\(p\)-Laplacianspectral structureFučík spectrumindefinite weights

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) General spectral theory of ordinary differential operators (34L05) Parameter dependent boundary value problems for ordinary differential equations (34B08) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Asymptotic behavior of the curves in the Fučík spectrum

Cites Work

• Spectrum of one-dimensional \(p\)-Laplacian with an indefinite integrable weight
• Various half-eigenvalues of scalar \(p\)-Laplacian with indefinite integrable weights
• Some remarkable sine and cosine functions
• On the Fučik spectrum of the \(p\)-Laplacian with indefinite weights
• On the Fučík spectrum of the \(p\)-Laplacian
• Complete structure of the Fučík spectrum of the p-Laplacian with integrable potentials on an interval
• CONTINUITY AND CONTINUOUS DIFFERENTIABILITY OF HALF-EIGENVALUES IN POTENTIALS
• THE ROTATION NUMBER APPROACH TO EIGENVALUES OF THE ONE-DIMENSIONAL p-LAPLACIAN WITH PERIODIC POTENTIALS
• Boundary value problems with jumping nonlinearities
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations

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