Existence of solutions for a higher order Kirchhoff type problem with exponential critical growth

Liang Zhao, Ning Zhang

The higher order Kirchhoff type equation $$\int_{\mathbb{R}^{2m}}(|\nabla^m u|^2 +\sum_{γ=0}^{m-1}a_γ(x)|\nabla^γu|^2)dx \left((-Δ)^m u+\sum_{γ=0}^{m-1}(-1)^γ\nabla^γ\cdot(a_γ(x)\n…