Cartan-Hadamard 流形上 A-调和方程与极小图方程的渐近 Dirichlet 问题
微分几何
2019-10-10 v2
摘要
我们研究了 Cartan-Hadamard 流形上 A-调和方程及极小图方程的渐近 Dirichlet 问题,该流形的截面曲率由依赖于到中某固定点距离的某些函数给出上下界。我们特别感兴趣的是寻找最优(或接近最优)的曲率上界。
引用
@article{arxiv.1501.05249,
title = {Asymptotic Dirichlet problem for A-harmonic and minimal graph equations in Cartan-Hadamard manifolds},
author = {Jean-Baptiste Casteras and Ilkka Holopainen and Jaime B. Ripoll},
journal= {arXiv preprint arXiv:1501.05249},
year = {2019}
}
备注
To appear in Communications in Analysis and Geometry