I'm interested to know if anyone can give me some information about this pde (name, references, etc. ..)
$|\nabla \omega|^2= \alpha \omega^n+ \beta$ about this PDE $$|\nabla \omega|^2= \alpha \omega^n+ \beta,$$ where $\omega$ is a scalar function of two or more variables, $\alpha$ and $\beta$ are arbitrary constants $\in$ $\mathbb{R}$.