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In this paper, we are interested in existence and multiplicity of solutions to anisotropic elliptic equations of Kirchhoff-type given bywhereΩ is a smooth bounded domain ofandare parameters,whereis the critical exponent and. The functionis only continuous withand can change its sign,is a function with subcritical growth andUnder appropriate assumptions on  f , applying an adequate truncation argument on  M  and the Concentration Compactness-Principle for the anisotropic operator [ 1 ], we obtain the existence of a nontrivial solution forby the Mountain Pass Theorem [ 2 ] and multiplicity of solutions by Krasnoselskii's genus and the symmetric Mountain Pass Lemma [ 3 ]. As a model case for  M  and  f , we can considerorwithandwithand appropriate

Existence and multiplicity results for critical anisotropic Kirchhoff-type problems with nonlocal nonlinearities