Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain. (August 2017)
- Record Type:
- Journal Article
- Title:
- Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain. (August 2017)
- Main Title:
- Positive solutions for the fractional Laplacian in the almost critical case in a bounded domain
- Authors:
- Figueiredo, Giovany M.
Siciliano, Gaetano - Abstract:
- Abstract: We prove existence of multiple positive solutions for a fractional scalar field equation in a bounded domain, whenever p tends to the critical Sobolev exponent. By means of the "photography method", we prove that the topology of the domain furnishes a lower bound on the number of positive solutions.
- Is Part Of:
- Nonlinear analysis. Volume 36(2017)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 36(2017)
- Issue Display:
- Volume 36, Issue 2017 (2017)
- Year:
- 2017
- Volume:
- 36
- Issue:
- 2017
- Issue Sort Value:
- 2017-0036-2017-0000
- Page Start:
- 89
- Page End:
- 100
- Publication Date:
- 2017-08
- Subjects:
- Fractional Laplacian -- Variational methods -- Lusternik–Schnirelmann category -- Multiplicity of solutions
Nonlinear functional analysis -- Periodicals
Analyse fonctionnelle non linéaire -- Périodiques
Nonlinear functional analysis
Periodicals
515.7248 - Journal URLs:
- http://www.sciencedirect.com/science/journal/14681218 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.nonrwa.2017.01.004 ↗
- Languages:
- English
- ISSNs:
- 1468-1218
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6117.315200
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 405.xml