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Existence and concentration of solutions of Schrödinger–Poisson system
- Source :
- Applied Mathematics Letters. 68:8-12
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- The aim of this paper is to study the following Schrodinger–Poisson problem ( SP ) − △ u + V ( x ) u + e ϕ ( x ) u = λ f ( u ) , in R 3 , − △ ϕ = u 2 , lim | x | → + ∞ ϕ ( x ) = 0 , in R 3 , u > 0 , in R 3 . We prove existence and concentration of positive solutions to system ( SP ) for suitable range of e and λ .
Details
- ISSN :
- 08939659
- Volume :
- 68
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics Letters
- Accession number :
- edsair.doi...........b8254a5092d388b9afbe4404cdbe9faf
- Full Text :
- https://doi.org/10.1016/j.aml.2016.12.014