A discretised nonlinear eigenvalue problem with many spurious branches of solutions

DOI10.4171/ZAA/1009zbMath0992.47031OpenAlexW2094247084MaRDI QIDQ5938156

Charles A. Stuart, G. Vuillaume

Publication date: 23 September 2002

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1009

zbMATH Keywords

bifurcationapproximationnonlinear eigenvalue problemessential spectrummethod of discretization

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical solutions to equations with nonlinear operators (65J15) Abstract bifurcation theory involving nonlinear operators (47J15)

Cites Work

• Unnamed Item
• Existence and bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation
• Necessary and sufficient conditions for gap-bifurcation
• Solvability of nonlinear equations in spectral gaps of the linearization

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