带外势的拟相对论非线性薛定谔方程的极限行为
Limit Behavior of Pseudo-Relativistic Nonlinear Schr?dinger Equations with External Potential
DOI: 10.12677/AAM.2025.1410450, PDF,   
作者: 肖雨婷, 田 涛：浙江师范大学数学科学学院，浙江 金华
关键词: 非线性薛定谔方程；极限行为；基态解；Nonlinear Schr?dinger Equations； Limit Behavior； Normalized Solution
摘要: 本文我们主要关注归一化的基态孤立波 φm, 我们研究当 m 趋于正无穷时, 方程对应的能量泛函和 极小元的极限行为.
Abstract: In this paper, we mainly focus on the normalized ground state solitary waves φm, we investigate the limit behavior of energy and minimizer of the corresponding functional of the equation when m tends to positive infinity.
文章引用：肖雨婷, 田涛. 带外势的拟相对论非线性薛定谔方程的极限行为[J]. 应用数学进展, 2025, 14(10): 392-400. https://doi.org/10.12677/AAM.2025.1410450

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