Liouville type theorems for $\varphi$-subharmonic functions

descriptionPublicationkeyboard_double_arrow_right Article 31 Dec 2001 Italy Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Revista Matemática Iberoamericana, volume 17, pages 471-520 (issn: 0213-2230, eissn: 2235-0616,

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Authors: Rigoli M.; Setti A. G.;

doi: 10.4171/rmi/302

handle: 11383/1490677 , 11383/2136968

Liouville type theorems for $\varphi$-subharmonic functions

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Abstract

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.

Country

Italy

Related Organizations

University of Milan
Italy
University of Insubria
Italy
National Institute for Nuclear Physics
Italy
Università dell Insubria (Varese)
Italy

Keywords

weak maximum principle, General Mathematics, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), Phragmen-Lindelöff type results, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs, Harmonic, subharmonic, superharmonic functions in higher dimensions, Maximum principles in context of PDEs

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