Abstract
We prove the maximum principle and the comparison principle of p-harmonic functions via p-harmonic boundary of graphs. By applying the comparison principle, we also prove the solvability of the boundary value problem of p-harmonic functions via p-harmonic boundary of graphs.
| Original language | English |
|---|---|
| Pages (from-to) | 1241-1250 |
| Number of pages | 10 |
| Journal | Bulletin of the Korean Mathematical Society |
| Volume | 49 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2012 |
Keywords
- Boundary value problem
- Comparison principle
- Maximum principle
- p-harmonic boundary
- p-harmonic function