带位势的非齐次Schrodinger-Poisson-Slater方程的正规化基态解

doi:10.13371/j.cnki.chin.q.j.m.2026.02.004

数学季刊 ›› 2026, Vol. 41 ›› Issue (2): 147-161.doi: 10.13371/j.cnki.chin.q.j.m.2026.02.004

带位势的非齐次Schrodinger-Poisson-Slater方程的正规化基态解

School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

收稿日期:2025-05-05 出版日期:2026-06-30 发布日期:2026-06-30
作者简介:QIU Shuang-shuang (2000-), female, native of Jiaozuo, Henan, postgraduate of Henan University of Science and Technology, engages in nonlinear analysis; XU Li-ping (1972-), female, native of Luoyang, Henan, professor of Henan University of Science and Technology, engages in nonlinear analysis.
基金资助:
Supported by National Natural Science Foundation of China (Grant Nos. 11671403 and 11671236), Henan Provincial General Natural Science Foundation Project (Grant No. 232300420113).

Ground State Normalized Solution for Nonhomogeneous Schrödinger-Poisson-Slater Equations with Potential

School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

Received:2025-05-05 Online:2026-06-30 Published:2026-06-30
About author:QIU Shuang-shuang (2000-), female, native of Jiaozuo, Henan, postgraduate of Henan University of Science and Technology, engages in nonlinear analysis; XU Li-ping (1972-), female, native of Luoyang, Henan, professor of Henan University of Science and Technology, engages in nonlinear analysis.
Supported by:
Supported by National Natural Science Foundation of China (Grant Nos. 11671403 and 11671236), Henan Provincial General Natural Science Foundation Project (Grant No. 232300420113).

摘要/Abstract

摘要： In this paper, we primarily investigate the existence of ground state normalized solutions to the following nonhomogeneous Schrödinger-Poisson-Slater equation......

关键词: Nonlinear Schr¨odinger-Poisson-Slater equations, Ground state normalized solutions, Variational methods, Potential, Perturbation.

Abstract: In this paper, we primarily investigate the existence of ground state normalized solutions to the following nonhomogeneous Schrödinger-Poisson-Slater equation......

Key words: Nonlinear Schr¨odinger-Poisson-Slater equations, Ground state normalized solutions, Variational methods, Potential, Perturbation.

中图分类号:

O175.29

邱爽爽, 许丽萍. 带位势的非齐次Schrodinger-Poisson-Slater方程的正规化基态解[J]. 数学季刊, 2026, 41(2): 147-161.

QIU Shuang-shuang, XU Li-ping. Ground State Normalized Solution for Nonhomogeneous Schrödinger-Poisson-Slater Equations with Potential[J]. Chinese Quarterly Journal of Mathematics, 2026, 41(2): 147-161.

[1]	夏素霞, 李烁. 具位势项的非齐次四阶Schrödinger方程的适定性研究[J]. 数学季刊, 2026, 41(1): 82-91.
[2]	张小藏, 许丽萍. 具有指数临界增长的薛定谔方程的高能正规化解[J]. 数学季刊, 2025, 40(1): 1-19.
[3]	李楠, 赵慧燕, 许丽萍. 带有非常数位势的非线性 Choquard 方程正规化基态解[J]. 数学季刊, 2024, 39(3): 250-261.
[4]	江东月, 唐忠华, 房少梅. 具有奇异势和一般非线性的伪抛物方程解的局部存在性和爆破[J]. 数学季刊, 2024, 39(2): 111-127.
[5]	梁艳霞. 带位势的基尔霍夫方程规范解的存在性[J]. 数学季刊, 2023, 38(2): 196-209.
[6]	SARWAR Qanitah 黄振友 ZAHID Abdul Hannan. 具有勢壘的Sturm-Liouville算子的特徵值和特徵函數[J]. 数学季刊, 2023, 38(1): 50-61.
[7]	李振辉, 许丽萍. 一类具有耦合项的 Kirchhoff 型双调和方程组正解的存在性和多解性[J]. 数学季刊, 2021, 36(1): 49-66.
[8]	陈玉松, 常荷洁. 一类不确定薛定谔基尔霍夫方程解的存在性和集中性[J]. 数学季刊, 2020, 35(1): 37-45.
[9]	胡黎莉. 刻画蕴含C₆+P₂的可图序列[J]. 数学季刊, 2014, 29(2): 238-243.
[10]	朱梧槚, 宫宁生, 杜国平. 数学无穷与中介逻辑(下)——关于△y/△y有意义dy/dx是切线的斜率在中介逻辑中的逻辑数学解读与逻辑分析[J]. 数学季刊, 2013, 28(3): 360-365.
[11]	朱梧槚, 宫宁生. 杜国平. 数学无穷与中介逻辑(上)——Leibniz的割线与切线问题在中介逻辑中的逻辑数学解释方法[J]. 数学季刊, 2013, 28(1): 41-46.
[12]	朱梧槚, 宫宁生, 杜国平. Leibniz割线切线问题在数学无穷之逻辑基础层面上的分析研究[J]. 数学季刊, 2011, 26(3): 420-425.
[13]	王友军, 沈尧天. 含临界参数及临界指数的非线性双调和方程的多解问题[J]. 数学季刊, 2011, 26(3): 317-324.
[14]	陈勇明, 杨晗. 一类非线性四阶波动方程整体解的存在性[J]. 数学季刊, 2008, 23(1): 109-114.

带位势的非齐次Schrodinger-Poisson-Slater方程的正规化基态解

Ground State Normalized Solution for Nonhomogeneous Schrödinger-Poisson-Slater Equations with Potential

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 14

编辑推荐

Metrics

本文评价