Electron. J. Diff. Equ., Vol. 2011 (2011), No. 54, pp. 1-10.

Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent

Mohammed Bouchekif, Mohammed E. O. El Mokhtar

Abstract:
We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.

Submitted February 23, 2011. Published April 27, 2011.
Math Subject Classifications: 35J20, 35J70
Key Words: Hardy-Sobolev-Maz'ya inequality; Palais-Smale condition; Nehari manifold; critical exponent.

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Mohammed Bouchekif
University of Tlemcen, Departement of Mathematics
BO 119, 13 000, Tlemcen, Algeria
email: m_bouchekif@yahoo.fr
Mohammed El Mokhtar Ould El Mokhtar
University of Tlemcen, Departement of Mathematics
BO 119, 13 000, Tlemcen, Algeria
email: med.mokhtar66@yahoo.fr

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