Normalized solutions to polyharmonic equations with Hardy-type potentials and exponential critical nonlinearities

Via a constrained minimization, we find a solution $(\lambda ,u)$ to the problem \begin{equation*} \begin{cases} (-Δ)^m u+\fracμ{|x|^{2m}}u + λu = ηu^3 + g(u)\ \int_{$\mathbb{R}$^{2m}} u^2 , dx = ρ\end{cases} \end{equation*} with $1\le m\in \mathbb{N}$, $\mu ,\eta \ge 0$, $\rho >0$, and $g$ having exponential critical growth at infinity and mass supercritical growth at zero.