势算子的参数化分裂定理与分支,第二部分:在拟线性椭圆方程与方程组上的应用
偏微分方程分析
2021-11-12 v1 泛函分析
摘要
这是致力于变分分支理论中常见定理的推广与应用系列的第二部分。利用第一部分的抽象定理,我们获得了关于高阶拟线性椭圆边值问题的许多新的分支结果。
引用
@article{arxiv.2111.06134,
title = {Parameterized splitting theorems and bifurcations for potential operators, Part II: Applications to quasi-linear elliptic equations and systems},
author = {Guangcun Lu},
journal= {arXiv preprint arXiv:2111.06134},
year = {2021}
}
备注
53 pages. Revision and extension for Part II (Applications to bifurcations for quasi-linear elliptic systems) in arXiv:1712.03479v2[math.FA]. Discrete Contin. Dyn. Syst., (2021) online. Second one of a series of papers about authors bifurcation research program. arXiv admin note: text overlap with arXiv:1712.03479