Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains. (8th April 2008)

• Record Type: Journal Article
• Authors: Amendola, M. E.; Rossi, L.; Vitolo, A.
• Other Names: Giga Y. Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2008(2008)
• Publication Date: 2008-04-08
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2008/178534
• Languages: English
• ISSNs: 1085-3375

Abstract

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.