Extremals For Fractional Order Hardy-Sobolev-Maz'ya Inequality
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fractionalderivehardy-sobolev-mazinequalitysolutionsarticleasymptoticbehaviour
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In this article, we derive the existence of positive solutions of a semi-linear, non-local elliptic PDE, involving a singular perturbation of the fractional laplacian, coming from the fractional Hardy-Sobolev-Maz'ya inequality, derived in this paper. We also derive symmetry properties and a precise asymptotic behaviour of solutions.
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