Global bifurcation techniques for Yamabe type equations on Riemannian manifolds

Alejandro Betancourt de la Parra, Jurgen Julio-Batalla, Jimmy Petean

We consider a closed Riemannian manifold $(M^n,g)$ of dimension $n\ge 3$ and study positive solutions of the equation $-{\Delta }_{g}u+\lambda u=\lambda u^q$, with $\lambda >0$, $q>1$. If $M$ supports a p…