Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains
M. E. Amendola, L. Rossi, and A. Vitolo
Source: Abstr. Appl. Anal. Volume 2008 (2008), 19 pages.
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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Permanent link to this document: http://projecteuclid.org/euclid.aaa/1220969165
Digital Object Identifier: doi:10.1155/2008/178534
Mathematical Reviews number (MathSciNet):
MR2407278
Zentralblatt MATH identifier:
05313183
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