Sharp integral inequalities for harmonic functions
Analysis of PDEs
2007-05-23 v1 Functional Analysis
Abstract
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.
Keywords
Cite
@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}
}
Comments
35 pages