We consider the problem of finding a function in the set of -harmonic functions, satisfying
and being a solution to the quasi-linear 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: Infinite-harmonic functions; holomorphic extension; harmonicity cells; p-Laplace equation; stationary plane flow.
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| Mohammed Boutaleb |
Dép. de Mathématiques. Fac de Sciences Fès D. M
B.P. 1796 Atlas Maroc
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