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2008 Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains
M. E. Amendola, L. Rossi, A. Vitolo
Abstr. Appl. Anal. 2008: 1-19 (2008). DOI: 10.1155/2008/178534

Abstract

We are concerned with fully nonlinear uniformly elliptic operators with a superlinear gradient term. We look for local estimates, such as weak Harnack inequality and local maximum principle, and their extension up to the boundary. As applications, we deduce ABP-type estimates and weak maximum principles in general unbounded domains, a strong maximum principle, and a Liouville-type theorem.

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M. E. Amendola. L. Rossi. A. Vitolo. "Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains." Abstr. Appl. Anal. 2008 1 - 19, 2008. https://doi.org/10.1155/2008/178534

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Published: 2008
First available in Project Euclid: 9 September 2008

zbMATH: 1187.35065
MathSciNet: MR2407278
Digital Object Identifier: 10.1155/2008/178534

Rights: Copyright © 2008 Hindawi

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