An ODE reduction method for the semi-Riemannian Yamabe problem on space forms

Juan Carlos Fernández, Oscar Palmas

We consider the semi-Riemannian Yamabe type equations of the form \[ -\square u + λu = μ\vert u\vert^{p-1}u\quad\text{ on }M \] where $M$ is either the semi-Euclidean space or the…