Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
420843 | Discrete Applied Mathematics | 2008 | 7 Pages |
Abstract
We discuss the p-harmonicity of the linear combination of p -harmonic functions in the Euclidean space and on a tree. If p≠2p≠2, the p-harmonicity is non-linear, i.e., the linear combination of p-harmonic functions need not be p-harmonic. In spite of this non-linear nature, we find some p-harmonic functions whose linear combinations become p-harmonic.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Hisayasu Kurata,