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).
Titolo: | Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains | |
Autori: | ||
Data di pubblicazione: | 2008 | |
Rivista: | ||
Citazione: | 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). | |
Handle: | http://hdl.handle.net/11573/1464652 | |
Appartiene alla tipologia: | 01a Articolo in rivista |
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Amendola_Harnack-inequalities_2008.pdf | Versione editoriale (versione pubblicata con il layout dell'editore) | Tutti i diritti riservati (All rights reserved) | Open Access Visualizza/Apri |