Introduction to p-harmonic functions
This short course is aimed to give a basic introduction to p-harmonic functions.
I will start with introductory remarks on Sobolev spaces and derive several inequalities needed for the course. I will then mostly follow lecture notes by Peter Lindqvist "Notes on the Stationary p-Laplace Equation" Springer Briefs in Mathematics, 2019.
The plan is to cover the following topics: weak solutions for Dirichlet problem, regularity theory, differentiability and p-superharmonic functions. If time permits I will also discuss Perron's method and viscosity solutions.
Each class comprises two lecture sessions and one discussion session (for students attending in person).
The second class will be on Sep. 20th, from 3:20 p.m. to 5:50 p.m. in Shuangqing-Room A513.
Because of the National Day holiday, the fourth class will be on Sep. 26th, from 9:50 a.m. to 12:15 p.m. in Shuangqing-Room B627.
I will start with introductory remarks on Sobolev spaces and derive several inequalities needed for the course. I will then mostly follow lecture notes by Peter Lindqvist "Notes on the Stationary p-Laplace Equation" Springer Briefs in Mathematics, 2019.
The plan is to cover the following topics: weak solutions for Dirichlet problem, regularity theory, differentiability and p-superharmonic functions. If time permits I will also discuss Perron's method and viscosity solutions.
Each class comprises two lecture sessions and one discussion session (for students attending in person).
The second class will be on Sep. 20th, from 3:20 p.m. to 5:50 p.m. in Shuangqing-Room A513.
Because of the National Day holiday, the fourth class will be on Sep. 26th, from 9:50 a.m. to 12:15 p.m. in Shuangqing-Room B627.
讲师
日期
2024年09月11日 至 10月16日
位置
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| 周三 | 13:30 - 16:05 | Shuangqing-B626 | ZOOM 03 | 242 742 6089 | BIMSA |
听众
Advanced Undergraduate
, Graduate
, 博士后
, Researcher
视频公开
公开
笔记公开
公开
语言
英文