An extended variational characterization of the Fučík spectrum for the \(p\)-Laplace operator

DOI10.1007/s00526-020-1731-9zbMath1443.35108OpenAlexW3011124109MaRDI QIDQ1984772

Pavel Drábek, Stephen B. Robinson

Publication date: 7 April 2020

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

Full work available at URL: https://doi.org/10.1007/s00526-020-1731-9

zbMATH Keywords

existenceFucik spectrum\(p\)-LaplacianLandesman-Lazer conditionvariational eigenvalues

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear boundary value problems for ordinary differential equations (34B15) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (2)

The Fučík spectrum for one dimensional Kreĭn-Feller operators ⋮ Optimal shapes for the first Dirichlet eigenvalue of the \(p\)-Laplacian and dihedral symmetry

Cites Work

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• On the solvability of resonance problems with respect to the Fučík spectrum
• On the Fredholm alternative for the Fučík spectrum
• A new and extended variational characterization of the Fučík spectrum with application to nonresonance and resonance problems
• On the Fučík spectrum of the \(p\)-Laplacian
• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• Resonance problems for the \(p\)-Laplacian

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