2 papers
math.DG2007
Existence and non-existence results for a logistic-type equation on manifolds
Stefano Pigola, Marco Rigoli, Alberto G. Setti
We study the steady state solutions of a generalized logistic type equation on a complete Riemannian manifold. We provide sufficient conditions for existence, respectively non-exis…
math.DG2002
"A priori" estimates for solutions of singular elliptic inequalities and applications
Stefano Pigola, Marco Rigoli, Alberto G. Setti
We obtain a maximum principle, and "a priori" upper estimates for solutions of a class of non linear singular elliptic differential inequalities on Riemannian manifolds under the s…