By means of variational methods we establish existence and multiplicity of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian and a combined Sobolev and Hardy nonlinearity at subcritical and critical growth.2010 Mathematics Subject Classification. 35J20, 35J60, 47G20.

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International audienceWe study stable positive radially symmetric solutions for the Lane- Emden system. We obtain a new critical curve that optimally describes the existence of such solutions

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