Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential

In this paper, we consider a logarithmic fractional Schrödinger-Poisson system where the potential is a sign-changing function. When the potential is coercive, we get the existence of infinitely many solutions for the system. When the potential is bounded, we get the existence of a ground state solution for the system.

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Publication Details

Journal
Fractal and Fractional
Published
2024-09-10
DOI
https://doi.org/10.3390/fractalfract8090528
Primary Topic
Nonlinear Partial Differential Equations
Type
article
Field-Weighted Citation Impact
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article

Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential

Sihua Liang, Yuan Li, Lifeng Guo
1 links
Fractal and Fractional
Nonlinear Partial Differential Equations
article

Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential

Sihua Liang, Yuan Li, Lifeng Guo
article en

Abstract

In this paper, we consider a logarithmic fractional Schrödinger-Poisson system where the potential is a sign-changing function. When the potential is coercive, we get the existence of infinitely many solutions for the system. When the potential is bounded, we get the existence of a ground state solution for the system.

Fractal and FractionalVol. 8(9)
Changchun Normal University (CN), Northeast Petroleum University (CN)
Openalex Percentile: Top 74%
Nonlinear Partial Differential Equations
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Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Asymptotic Potential — Sihua Liang, Yuan Li, et al. · Fractal and Fractional (2024) | TGRS Research Map | TGRS