Electron. J. Diff. Equ.,
Vol. 2012 (2012), No. 131, pp. 1-10.
Existence of solutions for elliptic systems in
R^N involving the p(x)-Laplacian
Ali Djellit, Zahra Youbi, Saadia Tas
Abstract:
This article presents sufficient conditions for the existence of
non-trivial solutions for a nonlinear elliptic system.
To establish this result, we use a classical existence
theorem in reflexive Banach spaces, under some growth
conditions on the non-linearities.
Submitted May 21, 2012. Published August 15, 2012.
Math Subject Classifications: 35J50, 35J92.
Key Words: p(x)-Laplacian operator; critical point, variational system.
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Ali Djellit
Mathematics, Dynamics and Modelization Laboratory
Badji-Mokhtar Annaba University
Annaba 23000, Algeria
email: a_djellit@hotmail.com
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Zahra Youbi
Mathematics, Dynamics and Modelization Laboratory
Badji-Mokhtar Annaba University
Annaba 23000, Algeria
email: zahra.youbi@yahoo.fr
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Saadia Tas
Mathematics, Dynamics and Modelization Laboratory
Badji-Mokhtar Annaba University
Annaba 23000, Algeria
email: tas_saadia@yahoo.fr
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