Sharp integral inequalities for harmonic functions
偏微分方程分析
2007-05-23 v1 泛函分析
摘要
Motivared by Carleman's proof of the isoperimetric inequality in the plane, we study some sharp integral inequalities for harmonic functions on the upper halfspace. We also derive the regularity for nonnegative solutions of the associated integral system and some Liouville type theorems.
引用
@article{arxiv.math/0611340,
title = {Sharp integral inequalities for harmonic functions},
author = {Fengbo Hang and Xiaodong Wang and Xiaodong Yan},
journal= {arXiv preprint arXiv:math/0611340},
year = {2007}
}
备注
35 pages