High Energy Normalized Solutions for the Schrödinger Equations with Exponential Critical Growth

ZHANG Xiao-cang, XU Li-ping

doi:10.13371/j.cnki.chin.q.j.m.2025.01.001

Chinese Quarterly Journal of Mathematics >

2025 , Vol. 40 >Issue 1: 1 - 19

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2025.01.001

High Energy Normalized Solutions for the Schrödinger Equations with Exponential Critical Growth

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School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, China

ZHANG Xiao-cang (2001-), female, native of Nanyang, Henan, postgraduate of Henan University of Science and Technology, engages in nonlinear analysis; XU Li-ping (1972-), female, native of Luoyang, Henan, professor of Henan University of Science and Technology, engages in nonlinear analysis.

XU Li-ping (1972-), female, native of Luoyang, Henan, professor of Henan University of Science and Technology, engages in nonlinear analysis.

Received date: 2023-11-29

Online published: 2025-03-30

Supported by

Supported by National Natural Science Foundation of China (Grant Nos. 11671403 and 11671236); Henan Provincial General Natural Science Foundation Project (Grant No. 232300420113).

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Abstract

In this paper, we study high energy normalized solutions for the following Schrödinger equation ……

Key words： High energy normalized solutions; Schr?dinger equation; Trapping potential; Exponential critical growth; Variational method

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ZHANG Xiao-cang, XU Li-ping . High Energy Normalized Solutions for the Schrödinger Equations with Exponential Critical Growth[J]. Chinese Quarterly Journal of Mathematics, 2025 , 40(1) : 1 -19 . DOI: 10.13371/j.cnki.chin.q.j.m.2025.01.001

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