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We study a nonlocal parametric problem driven by the fractional Laplacianoperator combined with a Kirchhoff-type coefficient and involving a criticalnonlinearity term in the sense of Sobolev embeddings. Our approach is ofvariational and topological nature. The obtained results can be viewed as anontrivial extension to the nonlocal setting of some recent contributionsalready present in the literature.

On Critical Kirchhoff problems driven by the fractional Laplacian