Infinitely many positive solutions for the fractional Schrödinger–Poisson system

Weiming Liu

Vol. 287 (2017), No. 2, 439–464

DOI: 10.2140/pjm.2017.287.439

Abstract

We consider a fractional Schrödinger–Poisson system in ${ℝ}^3$. Under certain assumptions, we prove that the problem has infinitely many nonradial positive solutions.

Keywords

fractional Schrödinger–Poisson system, infinitely many solutions, nonradial solutions

Mathematical Subject Classification 2010

Primary: 35J10, 35B99, 35J60

Milestones

Received: 31 January 2016

Revised: 7 June 2016

Accepted: 13 June 2016

Published: 9 March 2017