Abstract
We study certain problems of Φ-harmonic analysis on graphs, where Φ is a strictly convex N-function.We introduce the key definitions and reveal that the ones in question are well-defined and what basic properties of harmonic functions hold. Also we prove discrete analogs of classical theorems for harmonic function in the usual sense: uniqueness theorem, Harnack's inequality, Harnack's principle etc.
| Translated title of the contribution | Φ-harmonic functions on graphs |
|---|---|
| Original language | Russian |
| Article number | 1 |
| Pages (from-to) | 1-9 |
| Number of pages | 9 |
| Journal | Siberian Electronic Mathematical Reports |
| Volume | 14 |
| DOIs | |
| Publication status | Published - 2017 |
| Externally published | Yes |
OECD FOS+WOS
- 1.01 MATHEMATICS