Hostname: page-component-8448b6f56d-c4f8m Total loading time: 0 Render date: 2024-04-25T04:02:27.202Z Has data issue: false hasContentIssue false
  • English
  • Français

Existence and multiplicity of positive solutions for the nonlinear Schrödinger–Poisson equations

Published online by Cambridge University Press:  17 July 2013

Ching-yu Chen ,
Yueh-cheng Kuo  and
Tsung-fang Wu
Ching-yu Chen
Affiliation:
Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan (tfwu@nuk.edu.tw)
Yueh-cheng Kuo
Affiliation:
Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan (tfwu@nuk.edu.tw)
Tsung-fang Wu
Affiliation:
Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan (tfwu@nuk.edu.tw)
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the existence and multiplicity of positive solutions for the following nonlinear Schrödinger–Poisson equations: where 2 < p ≤ 3 or 4 ≤ p < 6, λ > 0 and Q ∈ C(ℝ3). We show that the number of positive solutions is dependent on the profile of Q(x).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 143 , Issue 4 , August 2013 , pp. 745 - 764
Copyright
Copyright © Royal Society of Edinburgh 2013 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)