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Existence and multiplicity results for the fractional p-Laplacian equation with Hardy-Sobolev exponents

Existence and multiplicity results for the fractional p-Laplacian equation with Hardy-Sobolev exponents

In this paper, we investigate the following fractional p -Laplacian problemwhere Ω is a bounded domain containing the origin in R N with Lipschitz boundary, p ∈ (1,∞) , s ∈ (0,1) , 0 α < ps < N and p * s,α = (N -α)p/(Nps) is the fractional Hardy-Sobolev …