Supercritical biharmonic equations with power-type nonlinearity

Alberto Ferrero, Hans-Christoph Grunau, Paschalis Karageorgis

The biharmonic supercritical equation ${\Delta }^{2}u=|u{|}^{p-1}u$, where $n>4$ and $p>(n+4)/(n-4)$, is studied in the whole space ${\mathbb{R}}^n$ as well as in a modified form with $\lambda (1+u{)}^p$…