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.Comment: 14 pages. To appear in Communications in Partial Differential
  equation

Borghol, Rouba

Veron, Laurent

English

arXiv

We characterize the boundary behaviour of any positive N-harmonic function $u$ in a smooth domain $\Omega$ which vanishes on $\partial\Omega\setminus\{a\}$. We also give new explicit separable expression for singular of regular p-harmonic functions

HAL Université de Tours

Boundary singularities of N -harmonic functions

http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.234.919

Boundary singularities of N -harmonic functions

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HAL Université de Tours