Book contents
- Frontmatter
- Dedication
- Contents
- Foreword
- Preface
- Part I Fractional Sobolev spaces
- Part II Nonlocal subcritical problems
- Part III Nonlocal critical problems
- 14 The Brezis–Nirenberg result for the fractional Laplacian
- 15 Generalization 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
- Bibliography
- Index
16 - The Brezis–Nirenberg result in low dimension
from Part III - Nonlocal critical problems
Published online by Cambridge University Press: 05 March 2016
- Frontmatter
- Dedication
- Contents
- Foreword
- Preface
- Part I Fractional Sobolev spaces
- Part II Nonlocal subcritical problems
- Part III Nonlocal critical problems
- 14 The Brezis–Nirenberg result for the fractional Laplacian
- 15 Generalization 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
- Bibliography
- Index
Summary
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- Chapter
- Information
- Variational Methods for Nonlocal Fractional Problems , pp. 293 - 298Publisher: Cambridge University PressPrint publication year: 2016