Abdeljabbar Ghanmi, Faten Toumi
Abstract:
We study the semilinear elliptic system
in an unbounded domain D in
with compact
boundary subject to some Dirichlet conditions. We give existence
results according to the monotonicity of the nonnegative
continuous functions f and g. The potentials p and q are
nonnegative and required to satisfy some hypotheses related on a
Kato class.
Submitted March 31, 2011. Published June 20, 2011.
Math Subject Classifications: 34B27, 35J45, 45M20.
Key Words: Green function; semilinear elliptic systems;
positive solution.
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Abdeljabbar Ghanmi Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: ghanmisl@yahoo.fr | |
Faten Toumi Département de Mathématiques Faculté des Sciences de Tunis Campus Universitaire, 2092 Tunis, Tunisia email: faten.toumi@fsb.rnu.tn |
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