Necessary and sufficient conditions for bifurcation from the continuous spectrum

DOI10.1016/0362-546X(79)90073-7zbMath0388.47039OpenAlexW2050457040MaRDI QIDQ4169833

Dieter Riemer, Tassilo Kuepper

Publication date: 1979

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(79)90073-7

zbMATH Keywords

CONTINUOUS SPECTRUMBIFURCATION

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (11)

A global branch of solutions to a semilinear equation on an unbounded interval ⋮ The existence of infinitely many solutions all bifurcating from λ = 0 ⋮ Bifurcation in \(L^ p({\mathbb{R}})\) for a semilinear equation ⋮ Bifurcation revisited along footprints of Jürgen Scheurle ⋮ Bifurcation for Neumann problems without eigenvalues ⋮ Multiple solutions for a class of nonlinear Sturm-Liouville problems on the half line ⋮ On minimal nonlinearities which permit bifurcation from the continuous spectrum ⋮ Maximal monotonicity and bifurcation from the continuous spectrum ⋮ Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems of unbounded domains ⋮ Bifurcation of singular solutions in reversible systems and applications to reaction-diffusion equations ⋮ Characterisation of bifurcation from the continuous spectrum by nodal properties

Cites Work

• Bifurcation when the linearized problem has no eigenvalues
• Bifurcation for variational problems when the linearisation has no eigenvalues
• Über das Verzweigungsverhalten eines nichtlinearen Eigenwertproblems in der Nahe eines unendlich vielfachen Eigenwertes der Linearisierung
• The lowest point of the continuous spectrum as a bifurcation point
• Estimation of the bifurcation coefficient for nonlinear eigenvalue problems
• Eigenfunction branches of nonlinear operators, and their bifurcations
• A branch of positive solutions of nonlinear eigenvalue problems
• Some global results for nonlinear eigenvalue problems
• Branching of Solutions of Nonlinear Equations
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