A discretised nonlinear eigenvalue problem with many spurious branches of solutions

Zeitschrift für Analysis und ihre Anwendungen

Volumn 20, Issue 1, 2001, Pages 183-192

  Stuart, C A ^a   Vuillaume, G ^a  

^a EPFL   (Switzerland)

Author keywords

Approximation; Bifurcation; Essential spectrum

Indexed keywords

EID: 26444555601     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (5)

1. Heinz, H.-P. and C. A. Stuart: Solvability of nonlinear equations in spectral gaps of the linearization. Nonlin. Anal.: Theory, Methods & Appl. 19 (1992), 145-165.
2. Heinz, H.-P., Küpper, T. and C. A. Stuart: Existence and Bifurcation of solutions for nonlinear perturbations of the periodic Schrödinger equation. J. Diff. Equ. 100 (1992), 341-354.
3. Küpper, T. and C. A. Stuart: Bifurcation into gaps in the essential spectrum. J. reine & angew. Math. 409 (1990), 1-34.
4. Küpper, T. and C. A. Stuart: Necessary and sufficient conditions for gap-bifurcation. Nonlin. Anal.: Theory, Methods & Appl. 18 (1992), 893-903.
5. Vuillaume, G.: Bifurcation du spectre essentiel: Théorie et exemples. Diploma's work. Lausanne: Ecole Polytechnique Fédérale 1999-2000.