Faten Toumi
Abstract:
In this article, we study a class of nonlinear elliptic systems
in regular domains of
with compact boundary.
More precisely, we prove the existence of bounded positive continuous
solutions to the system
,
, subject to some Dirichlet conditions.
Our approach is essentially based on properties of functions in
a Kato class
and the Schauder fixed point theorem.
Submitted August 15, 2012. Published July 29, 2013.
Math Subject Classifications: 34B15, 34B27, 35J66.
Key Words: Green function; Kato class; nonlinear elliptic systems;
positive solution; Schauder fixed point theorem.
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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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