A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term
Abstract
This paper concerns the boundary behavior of solutions of certain fully nonlinear equations with a general drift term. We elaborate on the non-homogeneous generalized Harnack inequality proved by the second author in [26], to prove a generalized Carleson estimate. We also prove boundary Hölder continuity and a boundary Harnack type inequality.
Main Authors
Format
Articles
Research article
Published
2017
Series
Subjects
Publication in research information system
Publisher
Academic Press
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201703011548Käytä tätä linkitykseen.
Review status
Peer reviewed
ISSN
0022-1236
DOI
https://doi.org/10.1016/j.jfa.2016.12.026
Language
English
Published in
Journal of Functional Analysis
Citation
- Avelin, B., & Julin, V. (2017). A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term. Journal of Functional Analysis, 272(8), 3176-3215. https://doi.org/10.1016/j.jfa.2016.12.026
License
Copyright© 2017 Elsevier Inc. This is a final draft version of an article whose final and definitive form has been published by Elsevier. Published in this repository with the kind permission of the publisher.