In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the -Laplacian. Our results in particular improve and generalize known results for the Laplacian and the -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.
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Marco Rigoli, Alberto G. Setti, Liouville type theorems for -subharmonic functions. Rev. Mat. Iberoam. 17 (2001), no. 3, pp. 471–520DOI 10.4171/RMI/302