Liouville type theorems for $\varphi$-subharmonic functions

Marco Rigoli; Alberto G. Setti

doi:10.4171/rmi/302

JournalsrmiVol. 17, No. 3pp. 471–520

Liouville type theorems for $φ$ -subharmonic functions

Marco Rigoli
Università di Milano, Italy
Alberto G. Setti
Università dell'Insubria, Como, Italy

$Liouville type theorems for $\varphi$-subharmonic functions cover$

Download PDF

Abstract

In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the $φ$ -Laplacian. Our results in particular improve and generalize known results for the Laplacian and the $p$ -Laplacian and are new even in these cases. Phragmen-Lindeloff type results and a weak form of the Omori-Yau maximum principle are also discussed.

Cite this article

Marco Rigoli, Alberto G. Setti, Liouville type theorems for $φ$ -subharmonic functions. Rev. Mat. Iberoam. 17 (2001), no. 3, pp. 471–520

DOI 10.4171/RMI/302