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Variational methods for nonlocal fractional problems /
This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equati...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2016.
|
| Colección: | Encyclopedia of mathematics and its applications ;
162. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Part I Fractional Sobolev spaces
- Fractional framework
- A density result for fractional Sobolev spaces
- An eigenvalue problem
- Weak and viscosity solutions
- Spectral fractional Laplacian problems
- Part II Nonlocal subcritical problems
- Mountain pass and linking results
- Existence and localization of solutions
- Resonant fractional equations
- A pseudoindex approach to nonlocal problems
- Multiple solutions for parametric equations
- Infinitely many solutions
- Fractional Kirchhoff-type problems
- On fractional Schrodinger equations
- Part III Nonlocal critical problems
- The Brezis-Nirenberg result for the fractional Laplacian
- Generalization of the Brezis-Nirenberg result
- The Brezis-Nirenberg result in low dimension
- The critical equation in the resonant case
- The Brezis-Nirenberg result for a general nonlocal equation
- Existence of multiple solutions
- Non critical equations with concave-convex nonlineaarities.