The Fučík spectrum for discrete systems and some nonlinear existence theorems

DOI10.1016/j.laa.2023.12.011OpenAlexW4389778250MaRDI QIDQ6141067

Daniel Maroncelli

Publication date: 22 January 2024

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2023.12.011

zbMATH Keywords

eigenvaluesvariational methodsdegree theoryresonanceimplicit function theoremFučík spectrum

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Linear equations (linear algebraic aspects) (15A06) Implicit function theorems; global Newton methods on manifolds (58C15) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07)

Cites Work

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• Discrete nonlinear equations and the Fučìk spectrum
• The Fučík spectrum of the discrete Dirichlet operator
• Nonlinear resonance set for nonlinear matrix equations
• The Fucik spectrum of general Sturm-Liouville problems
• A note on the relation between the Fučík spectrum and Pareto eigenvalues
• Discrete Fučík spectrum -- anchoring rather than pasting
• Boundary value problems with jumping nonlinearities