Adel Ben Dekhil
Abstract:
In this article, we study the existence of positive solutions for the system
where
are continuous functions satisfying
and
.
In terms of the growth of the variable potential functions
and the nonlinearities F and G, we establish some sufficient
conditions for the existence of positive continuous solutions for
this system and we discuss whether these solutions are bounded
or blow up at infinity.
Submitted October 14, 2012. Published December 28, 2012.
Math Subject Classifications: 35B08, 35B09, 35J47.
Key Words: Semilinear elliptic systems; positive large solution;
positive bounded solution.
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Adel Ben Dekhil Département de Mathématiques Faculté des Sciences de Tunis Université de Tunis El Manar Campus Universitaire, 2092 Tunis, Tunisia email: Adel.Bendekhil@ipein.rnu.tn |
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