含混合项的拟线性Schrödinger方程的正规化基态解

数学物理学报 ›› 2023, Vol. 43 ›› Issue (4): 1062-1072.

含混合项的拟线性Schrödinger方程的正规化基态解

归坤明(),陶虹杉(),杨俊^*()

华南理工大学数学学院广州 510640

收稿日期:2022-06-17 修回日期:2023-01-12 出版日期:2023-08-26 发布日期:2023-07-03
通讯作者: 杨俊 E-mail:guikunming@qq.com;sora1924@outlook.com;yangjun@scut.edu.cn
作者简介:归坤明，E-mail: guikunming@qq.com;|陶虹杉，sora1924@outlook.com
基金资助:
广东省自然科学基金(2018A0303130196)

Normalized Ground States for the Quasi-linear Schrödinger Equation with Combined Nonlinearities

Gui Kunming(),Tao Hongshan(),Yang Jun^*()

School of Mathematics, South China University of Technology, Guangzhou 510640

Received:2022-06-17 Revised:2023-01-12 Online:2023-08-26 Published:2023-07-03
Contact: Jun Yang E-mail:guikunming@qq.com;sora1924@outlook.com;yangjun@scut.edu.cn
Supported by:
NSF of Guangdong Province(2018A0303130196)

摘要/Abstract

摘要：

该文研究了一类含混合项拟线性Schrödinger方程正规化基态解的存在性. 推广了文献^[1-2]中的结果, 与他们研究的情形相比, 该文中方程对应能量泛函的结构更加复杂.

关键词: 正规化解, 拟线性Schr?dinger方程, 摄动法

Abstract:

In this paper, we mainly investigate the existence of normalized ground states for the Schrödinger equation with combined nonlinearities. Our results extend those reported in ^[1-2]. Compared with the case they studied, the structure of the energy function correspongding to the equation in this paper is more complex.

Key words: Normalized solutions, Quasi-linear Schr?dinger equation, Perturbation method

中图分类号:

O175.29

归坤明,陶虹杉,杨俊. 含混合项的拟线性Schrödinger方程的正规化基态解[J]. 数学物理学报, 2023, 43(4): 1062-1072.

Gui Kunming,Tao Hongshan,Yang Jun. Normalized Ground States for the Quasi-linear Schrödinger Equation with Combined Nonlinearities[J]. Acta mathematica scientia,Series A, 2023, 43(4): 1062-1072.

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