| Abstract: |
| In this talk, we introduce a Kirchhoff type problem driven by the fractional Laplace operator, involving a singular term, a Hardy potential and a critical Sobolev nonlinearity. Our variational problem presents some difficulties due to the bi-nonlocal
nature of the elliptic part, the double lack of compactness at critical level and the nondifferentiability of the related functional. For this, we exploit a minimization argument on a suitable manifold decomposition, in order to prove the existence of two different solutions. |
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