非自治Schrödinger方程的多重规范解
Multiple Normalized Solutions for Nonautonomous Schrödinger Equation
DOI: 10.12677/ORF.2023.136764, PDF,    国家自然科学基金支持
作者: 许 勤：贵州大学数学与统计学院，贵州 贵阳
关键词: Schrödinger方程；变分方法；规范解；多重解；Schrödinger Equations； Variational Methods； Normalized Solution； Multiple Solutions
摘要:

本文研究下列非自治Schrödinger方程的规范解：

其中是一个未知的参数，作为拉格朗日乘子。通过对函数g和常数α作适当的假设，我们可以获得方程具有多重规范解。

In this paper, we study the normalized solutions to the following nonautonomous Schrödinger equation

whereis an unknown parameter that appears as a Lagrange multiplier. By making appropriate assumptions about functions g and constants α, we can obtain Multiple normalized solutions for the equation.

文章引用：许勤. 非自治Schrödinger方程的多重规范解[J]. 运筹与模糊学, 2023, 13(6): 7817-7827. https://doi.org/10.12677/ORF.2023.136764

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