LOCAL REGULARITY RESULT IN OBSTACLE PROBLEMS

We obtain a local regularity result for solutions to kφ,θ-obstacle problem of A-harmonic equation divA（x, u（x）, ↓△u（x）） = 0, where .A ： Ω ×R × Rn → Rn is aCarath~odory function satisfying some coercivity and growth conditions with the naturalexponent 1 〈 p 〈 n, the obstacle function φ≥ 0, and the bo...

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Published inActa mathematica scientia Vol. 30; no. 1; pp. 208 - 214
Main Author 高红亚 郭静 左亚丽 褚玉明
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 2010
Hebei Provincial Center of Mathematics, Shijiazhuang 050016, China%College of Mathematics and Computer Science, Hebei University, Baoding 071002, China%Department of Mathematics, Chengde Teachers College for Nationalities, Chengde 067000, China%Faculty of Science, Huzhou Teachers College, Huzhou 313000, China
Subjects
35J60
Boundaries
Coercive force
Coercivity
harmonic equation
local regularity
Mathematical analysis
obstacle problem
Obstacles
Regularity
Triangles
生长条件
调和方程
边界数据
障碍函数
障碍问题
harmonic equation
local regularity
obstacle problem
35J60
A-harmonic equation
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Summary:We obtain a local regularity result for solutions to kφ,θ-obstacle problem of A-harmonic equation divA（x, u（x）, ↓△u（x）） = 0, where .A ： Ω ×R × Rn → Rn is aCarath~odory function satisfying some coercivity and growth conditions with the naturalexponent 1 〈 p 〈 n, the obstacle function φ≥ 0, and the boundary data θ ∈ W1mp（Ω）.
Bibliography:local regularity; A-harmonic equation; obstacle problem
obstacle problem
A-harmonic equation
local regularity
42-1227/O
O241.82
O175.2
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(10)60038-0