一类具有消失位势的Schrodinger-Bopp-Podolsky系统的解

doi:10.13438/j.cnki.jdzk.2025.05.002

吉首大学学报（自然科学版） ›› 2025, Vol. 46 ›› Issue (5): 5-9.DOI: 10.13438/j.cnki.jdzk.2025.05.002

一类具有消失位势的Schrodinger-Bopp-Podolsky系统的解

蒋巧云，李麟

（重庆工商大学数学与统计学院，重庆 400067）

出版日期:2025-09-25 发布日期:2025-11-07
作者简介:蒋巧云（2001—），女，湖南邵阳人，重庆工商大学数学与统计学院硕士研究生，主要从事偏微分方程研究
基金资助:
国家自然科学基金资助项目（12361024）

Existence of Solutions of a Schrdinger-Bopp-Podolsky System with Vanishing Potential

JIANG Qiaoyun,LI Lin

(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China)

Online:2025-09-25 Published:2025-11-07

摘要/Abstract

摘要：利用变分法和山路定理，研究了一类Schrodinger-Bopp-Podolsky系统的非平凡解的存在性，该系统的位势是消失位势，且非线性项满足超四次条件.

关键词： Schrodinger-Bopp-Podolsky系统, 山路定理, 变分法

Abstract: The existence of non-trivial solutions of a class of Schrodinger-Bopp-Podolsky system is studied by using variational method and mountain pass theorem,whose potential is vanishing potential,and the nonlinear term meets the super quartic condition.

Key words: schrodinger-Bopp-Podolsky system, mountain Pass Theorem, variation method

蒋巧云, 李麟. 一类具有消失位势的Schrodinger-Bopp-Podolsky系统的解[J]. 吉首大学学报（自然科学版）, 2025, 46(5): 5-9.

JIANG Qiaoyun, LI Lin. Existence of Solutions of a Schrdinger-Bopp-Podolsky System with Vanishing Potential[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(5): 5-9.

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一类具有消失位势的Schrodinger-Bopp-Podolsky系统的解

Existence of Solutions of a Schrdinger-Bopp-Podolsky System with Vanishing Potential

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