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ON A CLASS OF ELLIPTIC SYSTEM OF SCHRÖDINGER–POISSON TYPE
Published online by Cambridge University Press: 24 September 2014
Abstract
In this paper we prove existence and qualitative properties of solutions for a nonlinear elliptic system arising from the coupling of the nonlinear Schrödinger equation with the Poisson equation. We use a contraction map approach together with estimates of the Bessel potential used to rewrite the system in an integral form.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 97 , Issue 3 , December 2014 , pp. 301 - 314
- Copyright
- Copyright © 2014 Australian Mathematical Publishing Association Inc.