Linear relations for p-harmonic functions
We discuss the p-harmonicity of the linear combination of p -harmonic functions in the Euclidean space and on a tree. If p?2 p ? 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.
p-harmonic function discrete p-harmonic function