Entire solutions of singular elliptic inequalities on complete manifolds

Patrizia Pucci; Marco Rigoli

doi:10.3934/dcds.2008.20.115

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2008, Volume 20, Issue 1: 115-137. Doi: 10.3934/dcds.2008.20.115

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Entire solutions of singular elliptic inequalities on complete manifolds

Patrizia Pucci^1, and
Marco Rigoli^2,

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

Received: December 2006

Revised: May 2007

Published: January 2008

Abstract / Introduction Related Papers Cited by

Abstract

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.

Keywords:

Quasilinear singular elliptic inequalities on manifolds.

Mathematics Subject Classification: Primary: 35J15, 58J05; Secondary: 35J70.

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