Hakim Lakhal, Brahim Khodja
Abstract:
In this article, we study the existence of nontrivial solutions for the problem
where
is a bounded domain in
,
and
.
Here
,
where
is the spectrum.
We use the Leray-Schauder degree theory.
Submitted July 26, 2015. Published March 15, 2016.
Math Subject Classifications: 35Q30, 65N12, 65N30, 76M25.
Key Words: Topological degree; elliptic systems; homotopy.
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Hakim Lakhal Université de Skikda B.P. 26 route d'El-Hadaiek, 21000, Algérie email: H.lakhal@univ-skikda.dz | |
Brahim Khodja Badji Mokhtar University P.O. 12 Annaba, Algeria email: brahim.khodja@univ-annaba.org |
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