Multi-bump Solutions for a Logarithmic Fractional Schrödinger-Poisson System with Deepening Potential Well

被引：0
作者：
Lin Li [1 ]
Huo Tao [1 ]
机构：
[1] Chongqing Key Laboratory of Statistical Intelligent Computing and Monitoring, School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing
来源：
The Journal of Geometric Analysis | 2025年 / 35卷 / 6期
基金：
中国国家自然科学基金;
关键词：
Deepening potential well; Fractional Schrödinger-Poisson system; Logarithmic nonlinearity; Multi-bump solutions; Variational method;
D O I：
10.1007/s12220-025-02014-3
中图分类号：
学科分类号：
摘要：
This article concerns the existence of multi-bump positive solutions for a class of fractional Schrödinger-Poisson system involving logarithmic nonlinearity (Formula presented.) where s,t∈(0,1), 4s+2t≥3 and the nonnegative continuous function V has the deepening potential well intV-1(0) consisting of k disjoint components Ω1,Ω2,⋯,Ωk. By applying suitable variational arguments, we analyze that the system has at least 2k-1 multi-bump positive solutions as the parameter λ>0 is large enough. © Mathematica Josephina, Inc. 2025.
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