拟线性薛定谔方程组的正解存在性
偏微分方程分析
2025-03-07 v2 泛函分析
摘要
我们研究了拟线性薛定谔方程组的驻波解的存在性。为应对不可微性带来的挑战,我们采用了Colin和Jeanjean提出的对偶方法。解的存在性通过Del Pino和Felmer的惩罚技术建立,并借鉴了Alves的论证进行了改进。
关键词
引用
@article{arxiv.2411.15947,
title = {Existence of Positive Solution for a System of Quasilinear Schrodinger},
author = {Ayesha Baig and Li Zhouxin},
journal= {arXiv preprint arXiv:2411.15947},
year = {2025}
}
备注
We found published version of this work in the thesis titled "Exist\^encia de Solu\c{c}\~ao Positiva para uma Classe de Equa\c{c}\~ao de Schrodinger Quasilineares em RN" here's the link to access it for complete calculations https://pdm.propesp.ufpa.br/ARQUIVOS/teses/2022/Tese%20Laila%20Concei%C3%A7%C3%A3o%20Fontinele.pdf