Chinese Quarterly Journal of Mathematics ›› 2022, Vol. 37 ›› Issue (3): 274-280.doi: 10.13371/j.cnki.chin.q.j.m.2022.03.005

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

  

  1. 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).

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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

CLC Number: 

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