A-priori bounds for a quasilinear problem in critical dimension

Giulio Romani

We establish uniform a-priori bounds for solutions of the quasilinear problem $-{\Delta }_{N}u=f(u)$ in $\Omega$, with $u=0$ on $\partial \Omega$, where $\Omega \subset {\mathbb{R}}^N$ is a bounded smooth and c…