AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Morse Theoretic Aspects of $p$-Laplacian Type Operators
About this Title
Kanishka Perera, Florida Institute of Technology, Melbourne, FL, Ravi P. Agarwal, Florida Institute of Technology, Melbourne, FL and Donal O’Regan, National University of Ireland, Galway, Ireland
Publication: Mathematical Surveys and Monographs
Publication Year:
2010; Volume 161
ISBNs: 978-0-8218-4968-2 (print); 978-1-4704-1388-0 (online)
DOI: https://doi.org/10.1090/surv/161
MathSciNet review: MR2640827
MSC: Primary 58E05; Secondary 35J60, 35J92, 47J30
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- 1. Morse theory and variational problems
- 2. Abstract formulation and examples
- 3. Background material
- 4. Critical point theory
- 5. $p$-Linear eigenvalue problems
- 6. Existence theory
- 7. Monotonicity and uniqueness
- 8. Nontrivial solutions and multiplicity
- 9. Jumping nonlinearities and the Dancer-Fučík spectrum
- 10. Indefinite eigenvalue problems
- 11. Anisotropic systems