AN Ling,CHEN Jianqing,CHEN Jiaoping.Ground state solution for a class of generalized Kadomtsev-Petviashvili equation in multi-dimensional spaces[J].Journal of Yanbian University,2023,(02):122-125.
一类广义Kadomtsev-Petviashvili方程在多维空间中的基态解
- Title:
- Ground state solution for a class of generalized Kadomtsev-Petviashvili equation in multi-dimensional spaces
- 关键词:
- Kadomtsev-Petviashvili方程; 基态解; 次临界增长; 山路定理
- Keywords:
- Kadomtsev-Petviashvili equation; ground state solution; subcritical growth; Mountain-pass theorem
- 分类号:
- O175.25
- 文献标志码:
- A
- 摘要:
- 在多维空间中研究了一类不满足PS条件的广义Kadonmtsev-Petviasvili方程,并利用无PS条件的山路定理证明了此类方程存在基态解.该结果拓展了Kadonmtsev-Petviasvili方程存在基态解的相关研究结果.
- Abstract:
- A class of generalized Kadomtsev-Petviashvili equation that does not satisfy the PS condition in multi-dimensional space was studied, and the existence of the ground state solution for such equations was proved by using the Mountain-pass theorem without the PS condition.This result extends the existence of ground state solutions for the Kadomtsev-Petviasvili equation.
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备注/Memo
收稿日期: 2023 04 21
第一作者: 安令(1995—),男,硕士研究生,研究方向为非线性泛函分析.
通信作者: 陈建清(1974—),男,博士,教授,研究方向为非线性分析及应用.