Mohamed Boutaleb
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
.
We also determine
explicitly all the extremal points and support hyperplanes of
polyhedric harmonicity cells in
.
Published December 28, 2002.
Subject classfications: 31A30, 31B30, 35J30.
Key words: Harmonicity cells, polyharmonic functions, extremal points,
Lelong transformation.
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Mohamed Boutaleb Departement de Mathematiques et Informatique Faculte des Sciences Dhar-Mahraz B. P. 1796 Atlas, Fes, Maroc e-mail: mboutalebmoh@yahoo.fr |
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