Sameh Turki
Abstract:
We study the existence of continuous positive solutions of the
m-polyharmonic nonlinear elliptic system
in the complement of the unit closed ball in
(n>2m and
).
Here the constants
are
nonnegative, the functions f,g are nonnegative, continuous and
monotone. We prove two existence results for the above system
subject to some boundary conditions, where the nonnegative
functions p,q satisfy some appropriate conditions related
to a Kato class of functions.
Submitted May 23, 2011. Published June 21, 2011.
Math Subject Classifications: 34B27, 35J40.
Key Words: Polyharmonic elliptic system; Positive solutions;
Green function; polyharmonic Kato class.
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Sameh Turki Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: sameh.turki@ipein.rnu.tn |
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