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math.AP2022
Existence of solutions to a perturbed critical biharmonic equation with Hardy potential
Qi Li, Yuzhu Han, Jian Wang
\ In this paper, the following biharmonic elliptic problem \begin{eqnarray*} \begin{cases} Δ^2u-λ\frac{|u|^{q-2}u}{|x|^s}=|u|^{2^{**}-2}u+ f(x,u), &x\inΩ,\\ u=\dfrac{\partial u}{\p…
math.AP2022
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,…