AUTHOREA
Log in Sign Up Browse Preprints

loading page

On the planar Schrödinger-Poisson system with zero mass potential
  • Fangfang Liao,
  • Xiaoping Wang
Fangfang Liao
XiangNan University

Corresponding Author:[email protected]

Author Profile
Xiaoping Wang
XiangNan University
Author Profile

Abstract

In this paper, we prove that the following planar Schrödinger-Poisson system with zero mass -Δu+φu=f(u), x∈R^2, Δφ= 2πu^2, x∈R^2, admits a nontrivial radially symmetric solution under weaker assumptions on f by using some new analytical approaches.

Peer review status:Published

14 Jul 2021Submitted to Mathematical Methods in the Applied Sciences
Show details
Hide details
15 Jul 2021Submission Checks Completed
15 Jul 2021Assigned to Editor
18 Jul 2021Reviewer(s) Assigned
17 Sep 2021Review(s) Completed, Editorial Evaluation Pending
22 Sep 2021Editorial Decision: Revise Minor
06 Oct 20211st Revision Received
06 Oct 2021Submission Checks Completed
06 Oct 2021Assigned to Editor
06 Oct 2021Review(s) Completed, Editorial Evaluation Pending
07 Oct 2021Editorial Decision: Accept
28 Nov 2021Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.7956