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In this paper, we consider the existence and multiplicity of solutions for the following perturbed fractional  p -Laplacian equationUnder some mild conditions on  V ,  A  and  h , we show that the problem has at least one positive weak solution provided, and for any, it haspairs of solutions if, whereandare sufficiently small positive numbers. Moreover, these solutionsinas

Existence and multiplicity of solutions for perturbed fractional p -Laplacian equations with critical nonlinearity in N