Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains
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 princi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2008/178534 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849306946195161088 |
|---|---|
| author | M. E. Amendola L. Rossi A. Vitolo |
| author_facet | M. E. Amendola L. Rossi A. Vitolo |
| author_sort | M. E. Amendola |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2b9c562ffa934dbd847d6ab49d61dd77 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2b9c562ffa934dbd847d6ab49d61dd772025-08-20T03:54:56ZengWileyAbstract and Applied Analysis1085-33751687-04092008-01-01200810.1155/2008/178534178534Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded DomainsM. E. Amendola0L. Rossi1A. Vitolo2Dipartimento di Matematica e Informatica, Università di Salerno, P. Grahamstown, 84084 Fisciano (SA), ItalyDipartimento di Matematica, Università di Roma “La Sapienza”, P. le A. Moro 2, 00185 Roma, ItalyDipartimento di Matematica e Informatica, Università di Salerno, P. Grahamstown, 84084 Fisciano (SA), ItalyWe 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.http://dx.doi.org/10.1155/2008/178534 |
| spellingShingle | M. E. Amendola L. Rossi A. Vitolo Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains Abstract and Applied Analysis |
| title | Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains |
| title_full | Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains |
| title_fullStr | Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains |
| title_full_unstemmed | Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains |
| title_short | Harnack Inequalities and ABP Estimates for Nonlinear Second-Order Elliptic Equations in Unbounded Domains |
| title_sort | harnack inequalities and abp estimates for nonlinear second order elliptic equations in unbounded domains |
| url | http://dx.doi.org/10.1155/2008/178534 |
| work_keys_str_mv | AT meamendola harnackinequalitiesandabpestimatesfornonlinearsecondorderellipticequationsinunboundeddomains AT lrossi harnackinequalitiesandabpestimatesfornonlinearsecondorderellipticequationsinunboundeddomains AT avitolo harnackinequalitiesandabpestimatesfornonlinearsecondorderellipticequationsinunboundeddomains |