Revista Matemática Iberoamericana
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Published online: 2001-12-31
Liouville type theorems for $\varphi$-subharmonic functionsMarco Rigoli and Alberto G. Setti (1) Università di Milano, Italy
(2) Università dell'Insubria, Como, Italy
In this paper we presents some Liouville type theorems for solutions of differential inequalities involving the $\varphi$-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.
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Rigoli Marco, Setti Alberto: Liouville type theorems for $\varphi$-subharmonic functions. Rev. Mat. Iberoam. 17 (2001), 471-520. doi: 10.4171/RMI/302