Electron. J. Diff. Eqns., Vol. 2004(2004), No. 138, pp. 1-8.

Existence results for elliptic systems involving critical Sobolev exponents

Mohammed Bouchekif, Yasmina Nasri

Abstract:
In this paper, we study the existence and nonexistence of positive solutions of an elliptic system involving critical Sobolev exponent perturbed by a weakly coupled term.

Submitted July 6, 2004. Published November 25, 2004.
Math Subject Classifications: 35J20, 35J50, 35J60.
Key Words: Elliptic system; critical Sobolev exponent; variational method; moutain pass theorem

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Mohammed Bouchekif
Departement of Mathematics
University of Tlemcen
B. P. 119 Tlemcen 13000, Algeria
email: m_bouchekif@mail.univ-tlemcen.dz
Yasmina Nasri
Departement of Mathematics
University of Tlemcen
B. P. 119 Tlemcen 13000, Algeria
email: y_nasri@mail.univ-tlemcen.dz

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