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Existence and asymptotic behavior of solutions for nonlinear Schrödinger-Poisson systems with steep potential well.
- Source :
-
Journal of Mathematical Physics . 2016, Vol. 57 Issue 3, p1-19. 19p. - Publication Year :
- 2016
-
Abstract
- In this paper, we are concerned with a class of Schrödinger-Poisson systems with the asymptotically linear or asymptotically 3-linear nonlinearity. Under some suitable assumptions on V, K, a, and f, we prove the existence, nonexistence, and asymptotic behavior of solutions via variational methods. In particular, the potential V is allowed to be sign-changing for the asymptotically linear case. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 57
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 114262307
- Full Text :
- https://doi.org/10.1063/1.4941036