Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains
type: Item
instance of: scholarly article
title: Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains
zbMATH Open document ID: 1187.35065
DOI: 10.1155/2008/178534
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/45271
review text: Summary: 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.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B50
zbMATH DE Number: 5313183
zbMATH Keywords: nonlinear elliptic equations
zbMATH Keywords: Harnack inequalities
zbMATH Keywords: maximum principle
zbMATH Keywords: ABP-type estimates
Wikidata QID: Q58644282
author: Maria Emilia Amendola
author: Luca Rossi
author: Antonio Vitolo
MaRDI profile type: Publication
OpenAlex ID: W1967651413
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description: scientific article; zbMATH DE number 5313183