Existence of Positive Solution for a System of Quasilinear Schrodinger
Analysis of PDEs
2025-03-07 v2 Functional Analysis
Abstract
We investigate the existence of standing wave solutions for quasilinear Schrodinger systems. To address the challenges posed by non differentiability, we adopt the dual approach introduced by Colin and Jeanjean. The existence of solutions is established using Del Pino and Felmer's penalization technique, with refinements inspired by Alves' arguments.
Keywords
Cite
@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}
}
Comments
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