On the planar Schrödinger-Poisson system with zero mass potential

Fangfang Liao; Xiaoping Wang

doi:10.22541/au.162661177.71492774/v1

loading page

On the planar Schrödinger-Poisson system with zero mass potential

Fangfang Liao,
Xiaoping Wang

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.

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

Abstract

Peer review status:Published