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Orientation and the Leray-Schauder theory for fully nonlinear elliptic boundary value problems
About this Title
Patrick Fitzpatrick and Jacobo Pejsachowicz
Publication: Memoirs of the American Mathematical Society
Publication Year:
1993; Volume 101, Number 483
ISBNs: 978-0-8218-2544-0 (print); 978-1-4704-0060-6 (online)
DOI: https://doi.org/10.1090/memo/0483
MathSciNet review: 1126177
MSC: Primary 47H11; Secondary 35J65, 47H15, 47N20, 58C30, 58E07, 58G25
Table of Contents
Chapters
- 1. Introduction
- 2. Quasilinear Fredholm mappings
- 3. Orientation and the degree
- 4. General properties of the degree
- 5. Mapping theorems
- 6. The parity of a path of linear Fredholm operators
- 7. The regular value formula and homotopy dependence
- 8. Bifurcation and continuation
- 9. Strong orientability
- 10. Fully nonlinear elliptic boundary value problems