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Multiple Solutions for Elliptic Problem with Singular Cylindrical Potential and Critical Exponent

Mohammed El Mokhtar Ould El Mokhtar

In the present paper, a quasilinear elliptic problem with singular cylindrical potential and critical exponent, is considered. By using the Nehari manifold and mountain pass theorem, the existence of at least four distinct solutions is obtained. The result depends crucially on the parameters a, b, m, s, λ and μ.