双调和非线性薛定谔方程的径向变号解
偏微分方程分析
2017-04-12 v2
摘要
本文获得了双调和稳态薛定谔方程的三个径向解，分别为一个正解、一个负解和一个变号解。我们采用对偶分解法（Dual Decomposition Method）对所考虑的自然二阶 Sobolev 空间进行分解，以便应用适当的变分方法。
引用
@article{arxiv.1309.5242,
title = {Radial sign-changing solutions to biharmonic nonlinear Schr\"odinger equations},
author = {Marcos T. O. Pimenta},
journal= {arXiv preprint arXiv:1309.5242},
year = {2017}
}
备注
The paper has been withdrawn by the author due to a crucial error in the main argument