Uniform bounds for higher-order semilinear problems in conformal dimension

Gabriele Mancini, Giulio Romani

We establish uniform a-priori estimates for solutions of the semilinear Dirichlet problem \begin{equation} \begin{cases} (-Δ)^m u=h(x,u)\quad&\mbox{in }Ω,\\ u=\partial_nu=\cdots=\p…