Hölder estimates for elliptic equations degenerate on part of the boundary of a domain

Qiaozhen Song; Lihe Wang

doi:10.1007/s00229-011-0512-3

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Hölder estimates for elliptic equations degenerate on part of the boundary of a domain

Journal article

Peer reviewed

Hölder estimates for elliptic equations degenerate on part of the boundary of a domain

Qiaozhen Song and Lihe Wang

Manuscripta mathematica, Vol.139(1), pp.179-200

09/2012

DOI: 10.1007/s00229-011-0512-3

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Abstract

The present paper studies the Dirichlet problem for elliptic equations degenerate on part of the boundary of a domain and the degeneracy is of the Keldysh type. By introducing a proper metric that is related to the operator we establish the global Hölder estimates when some well-posed boundary conditions are satisfied. The main methods are the construction of some barrier functions and the interpolation of the estimates of uniformly elliptic operators.

Geometry

Mathematics

Number Theory

35H20

Topological Groups, Lie Groups

Calculus of Variations and Optimal Control; Optimization

35J70

Mathematics, general

Algebraic Geometry

Details

Title: Subtitle: Hölder estimates for elliptic equations degenerate on part of the boundary of a domain
Creators: Qiaozhen Song - College of Science Xi’an Jiaotong University Shaanxi 710049 China
Lihe Wang - Department of Mathematics University of Iowa Iowa City IA 52246 USA
Resource Type: Journal article
Publication Details: Manuscripta mathematica, Vol.139(1), pp.179-200
Publisher: Springer-Verlag
DOI: 10.1007/s00229-011-0512-3
ISSN: 0025-2611
eISSN: 1432-1785
Language: English
Date published: 09/2012
Academic Unit: Mathematics
Record Identifier: 9984083828002771

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