THE FIRST BOUNDARY VALUE PROBLEM FOR A CLASS OF QUASILINEAR DEGENERATE ELLIPTIC EQUATIONS

In this paper, the first boundary value problem for quasilinear equation of the form △A（u,x）＋∑i=1^m δb^i（u,x）/δxi＋c（u,x）=0,Au（u,x） ≥0is studied. By using the compensated compactness theory, some results on the existence of weak solution are established. In addition, under certain condition the uniqu...

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Bibliographic Details
Published inActa mathematica scientia Vol. 25; no. 4; pp. 577 - 586
Main Author 赵俊宁 曾小明
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2005
Department of Mathematics, Xiamen University, Xiamen 361005, China
Subjects
35B25
35J25
35J70
degenerate elliptic equation
Dirichlet problem
existence of solutions
准线性退化椭圆方程
唯一性
存在性
边值问题
Dirichlet problem
35B25
35J25
35J70
existence of solutions
degenerate elliptic equation
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(17)30196-0

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Summary:In this paper, the first boundary value problem for quasilinear equation of the form △A（u,x）＋∑i=1^m δb^i（u,x）/δxi＋c（u,x）=0,Au（u,x） ≥0is studied. By using the compensated compactness theory, some results on the existence of weak solution are established. In addition, under certain condition the uniqueness of solution is proved.
Bibliography:O175.25
Dirichlet problem, degenerate elliptic equation, existence of solutions
42-1227/O
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(17)30196-0