Existence of multiple positive solutions to nonhomogeneous Schrödinger–Poisson system

Qi Zhang, Fuyi Li and Zhanping Liang

Applied Mathematics and Computation, 2015, vol. 259, issue C, 353-363

Abstract: In this paper, we consider the existence of multiple solutions to the following nonhomogeneous generalized Schrödinger–Poisson system-Δu+Ku+qϕf(u)=g(u)+h(x),inR3,-Δϕ=2qF(u),inR3,whereq⩾0is a parameter, 0≠h(x)=h(|x|)∈L2(R3), and g is asymptotically linear or superliner at infinity. We show that there exists q0>0 such that the system has at least two positive radial solutions for q∈[0,q0).

Keywords: Schrödinger–Poisson system; Multiple solutions; Variational method; Cut-off function; Pohozaev identity (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315002325
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:353-363

DOI: 10.1016/j.amc.2015.02.044

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().