|
|||||
 |
|
|
|
|
|
|
The
Alexandroff–Bakelman–Pucci estimate via positive drift
Antonio Vitolo |
|
Vol. 5 (2023), No. 2, 261–283
|
Abstract |
|
A new Alexandroff–Bakelman–Pucci estimate is obtained for solutions of fully nonlinear uniform elliptic equations in any proper -dimensional domain. The novelty, with respect to the existing literature, is that the estimate does not depend on the geometry of the domain and extends to solutions, vanishing at infinity, in arbitrary unbounded domains. No decay condition on the first-order coefficient is assumed, but instead a “positive” drift. The existence of solutions vanishing at infinity is also shown, based on the ABP estimates previously proved. |
PDF Access Denied
We have not been able to recognize your IP address
44.222.82.133
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
fully nonlinear elliptic equations, ABP estimate,
comparison principles, existence, regularity
|
Mathematical Subject Classification
Primary: 35B45
Secondary: 35J25, 35J60, 35D40, 35B50
|
Milestones
Received: 22 August 2021
Revised: 9 September 2022
Accepted: 12 October 2022
Published: 26 June 2023
|
Authors |
| Antonio Vitolo | |
| Dipartimento di Matematica Università di Salerno Fisciano Italy |
|
| © 2023 MSP (Mathematical Sciences Publishers). |
