Abstract
Motivated by Carleman's proof of isoperimetric inequality in the plane, we study some sharp integral inequalities for harmonic functions on the upper half-space. We also derive the regularity for nonnegative solutions of the associated integral system and some Liouville-type theorems.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 54-95 |
| Number of pages | 42 |
| Journal | Communications on Pure and Applied Mathematics |
| Volume | 61 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2008 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics