Variational methods for nonlocal fractional problems
Title Statements
- Full title :Variational methods for nonlocal fractional problems / Giovanni Molica Bisci, Universitá 'Mediterranea' di Reggio Calabria, Italy, Vicentiu D. Radulescu, Institute of Mathematics of the Romanian Academy, Raffaella Servadei, Universitá degli Studi di Urbino 'Carlo Bo', Italy.
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:xvi, 383 pages ; : 25 cm
Edition Identifiers
- ISBN:9781107111943, 1107111943
- oclc:ocn922561838
- LC Classification:QA314
- Dewey Decimal:515/.83
Table of Contents
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.
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