Work

Uniqueness of minimizers for the mass subcritical planar Schrödinger-Poisson system with logarithmic convolution potential

Year: 2024

Type: article

Abstract: This paper is concerned with constraint minimizers of the $ L^{2} $-subcritical planar Schrödinger-Poisson system with a logarithmic convolution and an external potential $ V(x) $ satisfying some suitable conditions, which can be described by the constraint minimization problem. We analyze the limiting behavior of positive minimizers as $ \rho\to \infty $. Based on which, the uniqueness of positive minimizers is also proved for sufficiently large $ \rho>0 $.

Source: Discrete and Continuous Dynamical Systems

DOI: 10.3934/dcds.2024113

Authors: Chenyang Wang, Shu Zhang

Institution: Central China Normal University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402207590

FWCI: 3.817

Cites: 25

Cited by: 5

Related to: 10