Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains
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.
scientific article; zbMATH DE number 5313183
scientific article