Existence and nonexistence of solutions to a critical biharmonic equation with logarithmic perturbation

Qi Li, Yuzhu Han, Tianlong Wang

In this paper, the following critical biharmonic elliptic problem \begin{eqnarray*} \begin{cases} Δ^2u= λu+μu\ln u^2+|u|^{2^{**}-2}u, &x\inΩ,\\ u=\dfrac{\partial u}{\partial ν}=0,…