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A Carleson type inequality for fully nonlinear elliptic equations with non-Lipschitz drift term
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Probability Theory. Aalto University, Institute of Mathematics, P.O. Box 11100, FI-00076 Aalto, Finland.ORCID iD: 0000-0002-1429-4965
Univ Jyvaskyla, Dept Math & Stat, POB 35, Jyvaskyla 40014, Finland..
2017 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 272, no 8, 3176-3215 p.Article in journal (Refereed) Published
Abstract [en]

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 Holder continuity and a boundary Harnack type inequality.

Place, publisher, year, edition, pages
2017. Vol. 272, no 8, 3176-3215 p.
Keyword [en]
Generalized Carleson estimate, Non-Lipschitz drift, Elliptic PDE
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:uu:diva-321179DOI: 10.1016/j.jfa.2016.12.026ISI: 000396380600002OAI: oai:DiVA.org:uu-321179DiVA: diva2:1092425
Funder
Swedish Research Council, 637-2014-6822
Available from: 2017-05-02 Created: 2017-05-02 Last updated: 2017-05-02

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Avelin, Benny

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