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Article
Affiliation(s)

Departement of Mathemtics, Qassim University, BO 6644, Buraidah 51452, Kingdom of Saudi Arabia

ABSTRACT

In this paper, we establish the existence of at least five distinct solutions to a p-Laplacian problems involving critical exponents and singular cylindrical potential, by using the Nehari manifold, concentration-compactness principle and mountain pass theorem.

KEYWORDS

Nehari manifold, concentration-compactness principle, critical Hardy-Sobolev exponent, singular cylindrical potential, mountain pass theorem, nontrivial cylindrical solution.

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