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. Copyright © 2008 M. E. Amendola et al.
Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains / Vitolo, A.; Amendola, M. E.; Rossi, L.. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - 2008:(2008). [10.1155/2008/178534]
Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains
Rossi L.
2008
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. Copyright © 2008 M. E. Amendola et al.| File | Dimensione | Formato | |
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