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In this paper, we are concerned with the existence of least energy sign-changing solutions for the following fractional Kirchhoff problem with logarithmic and critical nonlinearity:    $$\begin{aligned} \left\{ \begin{array}{ll} \left( a+b[u]_{s,p}^p\right) (-\Delta )^s_pu = \lambda |u|^{q-2}u\ln |u|^2 + |u|^{ p_s^{*}-2 }u &amp;{}\quad \text {in } \Omega , \\ u=0 &amp;{}\quad \text {in } {\mathbb {R}}^N{\setminus } \Omega , \end{array}\right. \end{aligned}$$  a + b [ u ] s , p p ( - Δ ) p s u = λ | u | q - 2 u ln | u | 2 + | u | p s ∗ - 2 u in Ω , u = 0 in R N \ Ω , where    $$N &gt;sp$$  N &gt; s p with    $$s \in (0, 1)$$  s ∈ ( 0 , 1 ) ,    $$p&gt;1$$  p &gt; 1 , and    $$\begin{aligned}{}[u]_{s,p}^p =\iint _{{\mathbb {R}}^{2N}}\frac{|u(x)-u(y)|^p}{|x-y|^{N+ps}}dxdy, \end{aligned}$$  [ u ] s , p p = ∬ R 2 N | u ( x ) - u ( y ) | p | x - y | N + p s d x d y , $$p_s^*=Np/(N-ps)$$  p s ∗ = N p / ( N - p s ) is the fractional critical Sobolev exponent,    $$\Omega \subset {\mathbb {R}}^N$$  Ω ⊂ R N $$(N\ge 3)$$  ( N ≥ 3 ) is a bounded domain with Lipschitz boundary and    $$\lambda $$  λ is a positive parameter. By using constraint variational methods, topological degree theory and quantitative deformation arguments, we prove that the above problem has one least energy sign-changing solution    $$u_b$$  u b . Moreover, for any    $$\lambda &gt; 0$$  λ &gt; 0 , we show that the energy of    $$u_b$$  u b is strictly larger than two times the ground state energy. Finally, we consider  b  as a parameter and study the convergence property of the least energy sign-changing solution as    $$b \rightarrow 0$$  b → 0 .

Least-energy nodal solutions of critical Kirchhoff problems with logarithmic nonlinearity