HOLDER ESTIMATES FOR A CLASS OF DEGENERATE ELLIPTIC EQUATIONS

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 HSlder type estimates for the weak solutions.

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Bibliographic Details
Published inActa mathematica scientia Vol. 33; no. 4; pp. 1202 - 1218
Main Author 宋巧珍 王立河 李东升
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2013
Subjects
35H20
35J70
compactness method
degenerate elliptic equations
Hölder estimates
估计
发散
弱解
距离
退化椭圆型方程
退缩椭圆型方程
Hölder estimates
degenerate elliptic equations
35H20
35J70
compactness method
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Summary: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 HSlder type estimates for the weak solutions.
Bibliography: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 HSlder type estimates for the weak solutions.
degenerate elliptic equations; HSlder estimates; compactness method
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60074-0