Variational Methods for Nonlocal Fractional Problems
A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.
Read More ↓Title Statements
- Full title :Variational Methods for Nonlocal Fractional Problems / Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei.
Summary
A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.
Read More ↓Edition Statements
- Publication Date:2016.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2016.
The Physical Object
- Description:1 online resource (400 pages)
Edition Identifiers
- ISBN:9781316282397, 1316282392, 9781107111943, 1107111943
- oclc:on1170073680
- LC Classification:QA314
- Dewey Decimal:515/.83
Table of Contents
Cover; Half-title; Series page; Title page; Copyright information; Dedication; Table of contents; Foreword; Preface; Part I Fractional Sobolev spaces; Part II Nonlocal subcritical problems; Part III Nonlocal critical problems; Bibliography; Index; 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; 6 Mountain pass and linking results; 7 Existence and localization of solutions; 8 Resonant fractional equations; 9 A pseudoindex approach to nonlocal problems
10 Multiple solutions for parametric equations11 Infinitely many solutions; 12 Fractional Kirchhoff-type problems; 13 On fractional Schrödinger equations; 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; 1.1 Fourier transform of tempered distributions
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