Brahim Khodja, Abdelkrim Moussaoui
Abstract:
This paper concerns the non-existence of nontrivial solutions for the
semi-linear system of gradient type
with Dirichlet, Neumann or Robin boundary conditions. The functions
are locally Lipschitz continuous and satisfy
for
(resp.
).
We establish the non-existence of
nontrivial solutions using Pohozaev-type identities.
Here
are in
,
with
and
such that
,
.
Submitted April 10, 2008. Published January 2, 2009.
Math Subject Classifications: 35J45, 35J55.
Key Words: Semi linear systems; Pohozaev identity; trivial solution;
Robin boundary condition.
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Brahim Khodja Department of mathematics, Badji Mokhtar University B.P. 12 Annaba, Algeria email: bmkhodja@yahoo.fr | |
Abdelkrim Moussaoui Department of mathematics, Badji Mokhtar University B.P. 12 Annaba, Algeria email: remdz@yahoo.fr |
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