This paper deals with the study of combined effects of logarithmic and critical nonlinearities for the following class of fractional ▫$p$▫-Kirchhoff equations: ▫$$\begin{cases} M([u])_{s,p}^p) ...(-\Delta)_p^s u = \lambda |u|^{q-2} u \ln|u|^2 + |u|^{p_s^\ast - 2} u & \text{in} \quad \Omega, \\ u=0 & \text{in} \quad \mathbb{R}^N \setminus \Omega, \end{cases}$$▫ where ▫$\Omega \subset \mathbb{R}^N$▫ is a bounded domain with Lipschitz boundary, ▫$N > sp$▫ with ▫$s \in(0, 1)$▫, ▫$p \ge 2$▫, ▫$p_s^\ast = Np/(N-ps)$▫ is the fractional critical Sobolev exponent, and ▫$\lambda$▫ is a positive parameter. The main result establishes the existence of nontrivial solutions in the case of high perturbations of the logarithmic nonlinearity (large values of ▫$\lambda$)▫. The features of this paper are the following: (i) the presence of a logarithmic nonlinearity; (ii) the lack of compactness due to the critical term; (iii) our analysis includes the degenerate case, which corresponds to the Kirchhoff term ▫$M$▫ vanishing at zero.
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