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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