paper

Boundary singularities of N -harmonic functions

arXiv:math/0610016

Abstract

We construct N-harmonic functions in a domain with one isolated singularity on the boundary of the domain. By using solutions of the spherical p-harmonic spectral problem, we give an inductive method to produce a large variety of separable p-harmonic functions.

14 pages. To appear in Communications in Partial Differential equations

Boundary singularities of N -harmonic functions · wovepaper