Precise asymptotic estimates and non-degeneracy of solutions to a biharmonic problem with large exponents in dimension four

Xiuda Liang, Wenjie Wang

We are concerned with the semilinear biharmonic problem under Dirichlet boundary conditions that \begin{equation*} \begin{cases} Δ^2 u=(u^+)^{p} &{\text{in}~Ω},\\[0.5mm] u \not\equ…