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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

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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