Aomar Anane, Omar Chakrone, Najat Moradi
Abstract:
In this paper we study the maximum and the anti-maximum principles
for the problem
in the bounded smooth domain
,
with
as a non linear boundary condition on
which
is supposed
for some
in
,
and where
.
We will also examine the existence
and the non existence of the solutions and their signs.
Published September 20, 2006.
Math Subject Classifications: 35J65, 35J25.
Key Words: Anti-maximum; p-laplacian; non linear boundary condition.
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Aomar Anane Département de Mathématiques et Informatique Faculté des Sciences Université Mohammed 1er, Oujda, Maroc email: anane@sciences.univ-oujda.ac.ma | |
Omar Chakrone Département de Mathématiques et Informatique Faculté des Sciences Université Mohammed 1er, Oujda, Maroc email: chakrone@sciences.univ-oujda.ac.ma | |
Najat Moradi Département de Mathématiques et Informatique Faculté des Sciences Université Mohammed 1er, Oujda, Maroc email: najat_moradi@yahoo.fr |
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