利用莫尔斯指标理论求解一类薛定谔方程解的存在性

doi:10.13371/j.cnki.chin.q.j.m.2022.03.005

数学季刊 ›› 2022, Vol. 37 ›› Issue (3): 274-280.doi: 10.13371/j.cnki.chin.q.j.m.2022.03.005

利用莫尔斯指标理论求解一类薛定谔方程解的存在性

1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Department of
Mathematics, Shandong University, Jinan 250100, China

收稿日期:2021-11-29 出版日期:2022-09-25 发布日期:2022-09-19
通讯作者: WANG Qi (1982-) male, native of Luoyang, Henan, associate professor of Henan University, engages in nonlinear functional analysis. E-mail: Q.Wang@vip.henu.edu.cn
作者简介:LI Jia-yang (1998-), female, native of Luoyang, Henan, graduate student of Henan University, engages in dynamic systems. WANG Qi (1982-) male, native of Luoyang, Henan, associate professor of Henan University, engages in nonlinear functional analysis.
基金资助:
Supported by DEU of Henan (Grant No. 19A110011) and PSF of China (Grant No. 188576).

The Existence of Solutions for a Class of Schrödinger Equations via Morse Index Theory

1. School of Mathematics and Statistics, Henan University, Kaifeng 475004, China; 2. Department of
Mathematics, Shandong University, Jinan 250100, China

Received:2021-11-29 Online:2022-09-25 Published:2022-09-19
Contact: WANG Qi (1982-) male, native of Luoyang, Henan, associate professor of Henan University, engages in nonlinear functional analysis. E-mail: Q.Wang@vip.henu.edu.cn
About author:LI Jia-yang (1998-), female, native of Luoyang, Henan, graduate student of Henan University, engages in dynamic systems. WANG Qi (1982-) male, native of Luoyang, Henan, associate professor of Henan University, engages in nonlinear functional analysis.
Supported by:
Supported by DEU of Henan (Grant No. 19A110011) and PSF of China (Grant No. 188576).

摘要/Abstract

摘要： In this paper, with the relative Morse index, we will study the existence of
solutions of (1.1) under the assumptions that V satisfies some weaker conditions than
those in [2].

关键词: , Relative Morse index, Morse theory, Schr?dinger equations

Abstract: In this paper, with the relative Morse index, we will study the existence of
solutions of (1.1) under the assumptions that V satisfies some weaker conditions than
those in [2].

Key words: , Relative Morse index, Morse theory, Schr?dinger equations

中图分类号:

O177.91

李佳洋, 王琪. 利用莫尔斯指标理论求解一类薛定谔方程解的存在性[J]. 数学季刊, 2022, 37(3): 274-280.

LI Jia-yang, WANG Qi. The Existence of Solutions for a Class of Schrödinger Equations via Morse Index Theory[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(3): 274-280.

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利用莫尔斯指标理论求解一类薛定谔方程解的存在性

The Existence of Solutions for a Class of Schrödinger Equations via Morse Index Theory

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