Implicit functionals and eigenvalue problems

DOI10.1007/s10958-007-0369-xzbMath1176.35123OpenAlexW1988586909MaRDI QIDQ950776

I. L. Pokrovskiĭ

Publication date: 28 October 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0369-x

zbMATH Keywords

eigenvalue problem\(p\)-LaplacianFučik spectrumimplicit functional

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Equations involving nonlinear operators (general) (47J05) Critical exponents in context of PDEs (35B33) General theory of partial differential operators (47F05)

Cites Work

• The beginning of the Fučik spectrum for the \(p\)-Laplacian
• Resonance problems for the \(p\)-Laplacian
• Lusternik-Schnirelman theory on Banach manifolds
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations
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