具有外磁场的 Schrödinger 方程混合边界问题的非平凡解
偏微分方程分析
2013-09-19 v1
摘要
我们研究了一类涉及磁场并具有混合 Dirichlet-Neumann 边界条件的非线性 Schrödinger 方程解的存在性。我们利用 Lyusternik-Shnirelman 范畴和 Morse 理论，根据规定 Neumann 条件的部分边界的拓扑结构来估计非平凡解的数量。
引用
@article{arxiv.1309.4691,
title = {Nontrivial solutions for a mixed boundary problem for Schr\"odinger equations with an external magnetic field},
author = {Claudianor Oliveira Alves and Rodrigo Cohen Mota Nemer and Sérgio Henrique Monari Soares},
journal= {arXiv preprint arXiv:1309.4691},
year = {2013}
}
备注
This article is based on the second author's doctoral thesis