Hölder Estimates for A Class of Degenerate Elliptic Equations

Qiaozhen SONG; Lihe WANG; Dongsheng LI

doi:10.1016/S0252-9602(13)60074-0

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Hölder Estimates for A Class of Degenerate Elliptic Equations

Journal article

Peer reviewed

Hölder Estimates for A Class of Degenerate Elliptic Equations

Qiaozhen SONG, Lihe WANG and Dongsheng LI

Acta mathematica scientia, Vol.33(4), pp.1202-1218

07/2013

DOI: 10.1016/S0252-9602(13)60074-0

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Abstract

In this paper we study the regularity theory of the solutions of a class of degenerate elliptic equations in divergence form. By introducing a proper distance and applying the compactness method we establish the Hölder type estimates for the weak solutions.

Hölder estimates

degenerate elliptic equations

35H20

35J70

compactness method

Details

Title: Subtitle: Hölder Estimates for A Class of Degenerate Elliptic Equations
Creators: Qiaozhen SONG - College of Science, Xi'an Jiaotong University, Xi'an 710049, China
Lihe WANG - Department of Mathematics, University of Iowa, IA 52246, USA
Dongsheng LI - College of Science, Xi'an Jiaotong University, Xi'an 710049, China
Resource Type: Journal article
Publication Details: Acta mathematica scientia, Vol.33(4), pp.1202-1218
Publisher: Elsevier Ltd
DOI: 10.1016/S0252-9602(13)60074-0
ISSN: 0252-9602
eISSN: 1572-9087
Grant note: (10771166) / NSF of China
Language: English
Date published: 07/2013
Academic Unit: Mathematics
Record Identifier: 9984083894602771

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