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

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  • M. E. Amendola
  • L. Rossi
  • A. Vitolo

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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Handle: RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:178534
DOI: 10.1155/2008/178534
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