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《山东大学学报(理学版)》 ›› 2026, Vol. 61 ›› Issue (4): 117-122.doi: 10.6040/j.issn.1671-9352.0.2024.112

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次线性薛定谔-泊松系统的弱解和集中性

成荣,王进水   

  1. 南京信息工程大学数学与统计学院, 江苏 南京 210044
  • 出版日期:2026-04-20 发布日期:2026-04-08
  • 作者简介:成荣(1977— ),男,教授,博士,研究方向为非线性泛函分析. E-mail:mathchr@163.com
  • 基金资助:
    国家自然科学基金资助项目(12371171,12226412);江苏省自然科学基金项目(BK20221339);安徽省高等教育质量工程项目(2023ylyjh069);南京信息工程大学教改项目(2023XYBJG06)

Weak solutions and concentration of sublinear Schrödinger-Poisson system

CHENG Rong, WANG Jinshui   

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China
  • Online:2026-04-20 Published:2026-04-08

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摘要： 利用变分方法研究一类形式更一般的次线性薛定谔-泊松系统。在较弱的条件下,得到此类薛定谔-泊松系统非平凡弱解的存在性以及弱解序列的集中性,推广已有的结论。

关键词: 变分方法, 弱解, 临界点, 薛定谔-泊松系统, 集中性

Abstract: A class of sublinear Schrödinger-Poisson system with more general form is studied by using variational method. The existence of non-trivial weak solutions and the concentration of the weak solution sequence for such Schrödinger-Poisson systems are obtained under weaker conditions. The results generalize established conclusions.

Key words: variational methods, weak solution, critical point, Schrö, dinger-Poisson system, concentration

中图分类号: 

  • O175.14
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