Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian. (August 2016)
- Record Type:
- Journal Article
- Title:
- Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian. (August 2016)
- Main Title:
- Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian
- Authors:
- Ge, Bin
- Abstract:
- Abstract: In this paper we are devoted to a time-independent fractional Schrödinger equation ( − Δ ) α u + V ( x ) u = f ( x, u ) in R N, where ( − Δ ) α stands for the fractional Laplacian of order α ∈ ( 0, 1 ), f is either asymptotically linear or superquadratic growth. Under appropriate assumptions on V and f, we prove the existence of infinitely many nontrivial high or small energy solutions, which extend and complement previously known results in the literature.
- Is Part Of:
- Nonlinear analysis. Volume 30(2016)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 30(2016)
- Issue Display:
- Volume 30, Issue 2016 (2016)
- Year:
- 2016
- Volume:
- 30
- Issue:
- 2016
- Issue Sort Value:
- 2016-0030-2016-0000
- Page Start:
- 236
- Page End:
- 247
- Publication Date:
- 2016-08
- Subjects:
- Fractional Laplacian -- Infinitely many solutions -- Nonlinear Schrödinger equation
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.2016.01.003 ↗
- 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:
- 2230.xml