UniSa - IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe are concerned with the maximum principle for second-order elliptic operators in unbounded domains. Using a geometric condition, already considered by Berestycki, Nirenberg and Varadhan, and a weak boundary Harnack inequality due to Trudinger, Cabré was able to prove the ABP (Alexandroff–Bakelman–Pucci) estimate for a large class of unbounded domains, obtaining as a consequence the maximum principle for general elliptic operators. In this Note we introduce a weak form of the above geometric condition showing that this is enough to obtain the maximum principle for a larger class of domains.
| Titolo: | On the maximum principle for second-order elliptic operators in unbounded domains | |
| Autori: | ||
| Data di pubblicazione: | 2002 | |
| Rivista: | ||
| Abstract: | We are concerned with the maximum principle for second-order elliptic operators in unbounded domains. Using a geometric condition, already considered by Berestycki, Nirenberg and Varadhan, and a weak boundary Harnack inequality due to Trudinger, Cabré was able to prove the ABP (Alexandroff–Bakelman–Pucci) estimate for a large class of unbounded domains, obtaining as a consequence the maximum principle for general elliptic operators. In this Note we introduce a weak form of the above geometric condition showing that this is enough to obtain the maximum principle for a larger class of domains. | |
| Handle: | http://hdl.handle.net/11386/1061249 | |
| Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
File in questo prodotto:
http://hdl.handle.net/11386/1061249
Copyright © 2021