Electronic Journal of Differential Equations,
Conference 09 (2002), pp. 77-92.

Title: A polyharmonic analogue of a Lelong theorem and
  polyhedric harmonicity cells

Authors: Mohamed Boutaleb (Faculte des Sciences Dhar-Mahraz, Fes, Maroc)
 
Abstract: 
 We prove a polyharmonic analogue of a Lelong theorem using
 the topological method presented by Siciak for harmonic functions. 
 Then we establish the harmonicity cells of a union, intersection,
 and limit of domains of $\mathbb{R}^n$. We also determine
 explicitly all the extremal points and support hyperplanes of
 polyhedric harmonicity cells in $\mathbb{C}^2$.

Published December 28, 2002.
Math Subject Classifications: 31A30, 31B30, 35J30.
Key Words: Harmonicity cells; polyharmonic functions; extremal points; 
  Lelong transformation.