Boundary behavior of solutions of elliptic equations in nondivergence form

Yongpan Huang; Dongsheng Li; Lihe Wang

doi:10.1007/s00229-013-0643-9

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Boundary behavior of solutions of elliptic equations in nondivergence form

Journal article

Peer reviewed

Boundary behavior of solutions of elliptic equations in nondivergence form

Yongpan Huang, Dongsheng Li and Lihe Wang

Manuscripta mathematica, Vol.143(3), pp.525-541

03/2014

DOI: 10.1007/s00229-013-0643-9

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Abstract

A new proof for boundary Lipschitz estimate is shown for solutions of elliptic equations in nondivergence form. Under additional condition, the boundary differentiability is obtained.

Geometry

Topological Groups, Lie Groups

Calculus of Variations and Optimal Control; Optimization

Mathematics, general

Algebraic Geometry

Mathematics

Number Theory

35J25

Details

Title: Subtitle: Boundary behavior of solutions of elliptic equations in nondivergence form
Creators: Yongpan Huang - School of Mathematics and Statistics Xi’an Jiaotong University Xi’an 710049 China
Dongsheng Li - School of Mathematics and Statistics Xi’an Jiaotong University Xi’an 710049 China
Lihe Wang - Department of Mathematics University of Iowa Iowa City IA 52242 USA
Resource Type: Journal article
Publication Details: Manuscripta mathematica, Vol.143(3), pp.525-541
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/s00229-013-0643-9
ISSN: 0025-2611
eISSN: 1432-1785
Language: English
Date published: 03/2014
Academic Unit: Mathematics
Record Identifier: 9984083858502771

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