# American Institute of Mathematical Sciences

January  2008, 20(1): 115-137. doi: 10.3934/dcds.2008.20.115

## Entire solutions of singular elliptic inequalities on complete manifolds

 1 Dipartimento di Matematica e Informatica, Università degli Studi di Perugia, Via Vanvitelli 1, 06123 Perugia 2 Dipartimento di Matematica, Università degli Studi di Milano, Via Saldini 50, 29100 Milano, Italy

Received  December 2006 Revised  May 2007 Published  October 2007

We present some qualitative properties for solutions of singular quasilinear elliptic differential inequalities on complete Riemannian manifolds, such as the validity of the weak maximum principle at infinity, and non--existence results.
Citation: Patrizia Pucci, Marco Rigoli. Entire solutions of singular elliptic inequalities on complete manifolds. Discrete & Continuous Dynamical Systems, 2008, 20 (1) : 115-137. doi: 10.3934/dcds.2008.20.115
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