关于黎曼流形上的p-Laplace算子
微分几何
2014-01-27 v3 偏微分方程分析
摘要
本论文涵盖了黎曼流形上p-Laplace算子的不同方面。第2章：位势理论方面：Khasminskii条件。第3章：具有Ricci曲率下界的尖锐特征值估计。第4章：(2-)调和函数的临界集。
引用
@article{arxiv.1212.3422,
title = {On the p-Laplace operator on Riemannian manifolds},
author = {Daniele Valtorta},
journal= {arXiv preprint arXiv:1212.3422},
year = {2014}
}
备注
PhD Thesis: Contains results obtained in collaboration with other mathematicians, see section 1.4 for details. ADDED IN THIS VERSION: correction of few typos, and added a reference brought to our attention by an anonymous referee. Details in the introduction, end of section 1.3