2004Fez conference on Differential Equations and Mechanics.
Electron. J. Diff. Eqns.,
Conference 11, 2004, pp. 8193.
An infiniteharmonic analogue of a Lelong theorem
and infiniteharmonicity cells
Mohammed Boutaleb
Abstract:
We consider the problem of finding a function
in
the set of
harmonic
functions, satisfying
and being a solution to the quasilinear parabolic equation
where
is a simply connected plane domain,
is the harmonicity cell of
, and
is the holomorphic extension of
.
As an application, we show a
harmonic
behaviour of the modulus of the
velocity of an arbitrary stationary plane flow near an extreme point of the
profile.
Published October 15, 2004.
Math Subject Classifications: 31A30, 31B30, 35J30.
Key Words: Infiniteharmonic functions; holomorphic extension;
harmonicity cells; pLaplace equation; stationary plane flow.
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Mohammed Boutaleb
Dép. de Mathématiques. Fac de
Sciences Fès D. M
B.P. 1796 Atlas Maroc
email: mboutalebmoh@yahoo.fr 
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