A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds
type: Item
instance of: scholarly article
title: A Liouville-type result for quasi-linear elliptic equations on complete Riemannian manifolds
zbMATH Open document ID: 1070.58023
author: S. Pigola
author: M. Rigoli
author: Alberto G. Setti
published in: Journal of Functional Analysis
publication date: 2005-03-08T00:00:00Z
review text: The paper extends the results of Liouville type due to \textit{D. Aronson} and \textit{H. F. Weinberger} [Lect. Notes Math. 446, 5--49 (1975; Zbl 0325.35050), Adv. Math. 30, 33--76 (1978; Zbl 0407.92014)], \textit{E. N. Dancer} and \textit{Y. Du} [Proc. Am. Math. Soc. 131, No. 6, 1891--1899 (2003; Zbl 1076.35038)] and regarding solutions to the equation \(\Delta_pu=b(x)f(u),\) to the case of singular elliptic operators on Riemannian manifolds, including in particular the \(\varphi\)-Laplacian.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 58J05
Mathematics Subject Classification ID: 53C21
zbMATH DE Number: 2141632
zbMATH Keywords: a priori estimates
zbMATH Keywords: maximum principle
zbMATH Keywords: volume growth
zbMATH Keywords: quasilinear elliptic equations
MaRDI profile type: Publication
full work available at URL: j.jfa.2004.05.009
OpenAlex ID: W2014676599
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DOI: 10.1016/J.JFA.2004.05.009
description: scientific article; zbMATH DE number 2141632