一类广义Kadomtsev-Petviashvili方程在多维空间中的基态解  

Ground state solution for a class of generalized Kadomtsev-Petviashvili equation in multi-dimensional spaces

作　　者：安令 陈建清[1] 陈佼苹 AN Ling;CHEN Jianqing;CHEN Jiaoping(School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China)

机构地区：[1]福建师范大学数学与统计学院,福州350117

出　　处：《延边大学学报（自然科学版）》2023年第2期122-125,共4页Journal of Yanbian University（Natural Science Edition）

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.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.

关 键 词：KADOMTSEV-PETVIASHVILI方程 基态解 次临界增长 山路定理 

分 类 号：O175.25[理学—数学]