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

Author:

Guo Lifeng1,Li Yuan1,Liang Sihua12

Affiliation:

1. School of Mathematics and Statistics, Northeast Petroleum University, Daqing 163318, China

2. College of Mathematics, Changchun Normal University, Changchun 130032, China

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.

Funder

Heilongjiang Province Universities Excellent Young Teachers Basic Research Support Program

Science and Technology Development Plan Project of Jilin Province, China

Young outstanding talents project of Scientific Innovation and entrepreneurship in Jilin

National Natural Science Foundation of China

Natural Science Foundation of Changchun Normal University

Innovation and Entrepreneurship Talent Funding Project of Jilin Province

Publisher

MDPI AG

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4. On ground state solutions for the Schrödinger-Poisson equations with critical growth;Liu;J. Math. Anal. Appl.,2014

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