Boundary first order derivative estimates for fully nonlinear elliptic equations

Feiyao Ma; Lihe Wang

doi:10.1016/j.jde.2011.10.007

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Boundary first order derivative estimates for fully nonlinear elliptic equations

Journal article

Open access

Peer reviewed

Boundary first order derivative estimates for fully nonlinear elliptic equations

Feiyao Ma and Lihe Wang

Journal of Differential Equations, Vol.252(2), pp.988-1002

2012

DOI: 10.1016/j.jde.2011.10.007

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Abstract

In this paper, we prove the estimates of modulus of continuity up to the boundary for the first order derivative of viscosity solutions for fully nonlinear uniformly elliptic equations under Dini boundary data with the domain in the same class. As a corollary we derive C 1 , α boundary regularity.

Boundary regularity

Dini condition

Fully nonlinear

Elliptic equations

Viscosity solutions

Details

Title: Subtitle: Boundary first order derivative estimates for fully nonlinear elliptic equations
Creators: Feiyao Ma - Department of Mathematics, Ningbo University, Zhejiang Province, China
Lihe Wang - Department of Mathematics, University of Iowa, Iowa, IA, USA
Resource Type: Journal article
Publication Details: Journal of Differential Equations, Vol.252(2), pp.988-1002
DOI: 10.1016/j.jde.2011.10.007
ISSN: 0022-0396
eISSN: 1090-2732
Publisher: Elsevier Inc
Grant note: Sequoia Capital China
Language: English
Date published: 2012
Academic Unit: Mathematics
Record Identifier: 9984083832902771

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