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|
|Number of pages||9|
|Journal||Siberian Electronic Mathematical Reports|
|Publication status||Published - 2017|
- 1.01 MATHEMATICS