Comparison methods for semilinear elliptic problems on Riemannian manifolds with a Ricci lower bound

José M. Espinar, Fernán González-Ibáñez, Diego A. Marín

In the first part of the article we develop a comparison method for positive solutions of the semilinear Dirichlet problem $\Delta u+f(u)=0$ on domains $\Omega \subset {\mathcal{M}}^n$ of a Riema…