Existence results for fully nonlinear equations in radial domains

Giulio Galise, Fabiana Leoni, Filomena Pacella

We consider the fully nonlinear problem \begin{equation*} \begin{cases} -F(x,D^2u)=|u|^{p-1}u & \text{in $\Omega$}\\ u=0 & \text{on $\partial \Omega$} \end{cases} \end{equation*} where $F$ is…