Variational methods for nonlocal fractional problems /
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| Author / Creator: | Molica Bisci, Giovanni, author. |
|---|---|
| Imprint: | Cambridge : Cambridge University Press, 2016. |
| Description: | xvi, 383 pages ; 24 cm. |
| Language: | English |
| Series: | Encyclopedia of mathematics and its applications ; 162 Encyclopedia of mathematics and its applications ; 162. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10737370 |
Table of Contents:
- Foreword
- Preface
- Part I. Fractional Sobolev Spaces
- 1. Fractional framework
- 2. A density result for fractional Sobolev spaces
- 3. An eigenvalue problem
- 4. Weak and viscosity solutions
- 5. Spectral fractional Laplacian problems
- Part II. Nonlocal Subcritical Problems
- 6. Mountain Pass and linking results
- 7. Existence and localization of solutions
- 8. Resonant fractional equations
- 9. A pseudo-index approach to nonlocal problems
- 10. Multiple solutions for parametric equations
- 11. Infinitely many solutions
- 12. Fractional Kirchhoff-type problems
- 13. On fractional Schrödinger equations
- Part III. Nonlocal Critical Problems
- 14. The Brezis-Nirenberg result for the fractional Laplacian
- 15. Generalizations of the Brezis-Nirenberg result
- 16. The Brezis-Nirenberg result in low dimension
- 17. The critical equation in the resonant case
- 18. The Brezis-Nirenberg result for a general nonlocal equation
- 19. Existence of multiple solutions
- 20. Nonlocal critical equations with concave-convex nonlinearities
- References
- Index