Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains

M. E. Amendola, L. Rossi and A. Vitolo

Abstract and Applied Analysis, 2008, vol. 2008, 1-19

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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:178534

DOI: 10.1155/2008/178534

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