LOCAL REGULARITY RESULT IN OBSTACLE PROBLEMS  

作　　者：高红亚 郭静 左亚丽 褚玉明 

机构地区：[1]College of Mathematics and Computer Science,Hebei University [2]Hebei Provincial Center of Mathematics [3]Department of Mathematics,Chengde Teachers College for Nationalities [4]Faculty of Science,Huzhou Teachers College

出　　处：《Acta Mathematica Scientia》2010年第1期208-214,共7页数学物理学报（B辑英文版）

基　　金：supported by NSF of Hebei Province (07M003);supported by NSFC (10771195);NSF of Zhejiang Province(Y607128)

摘　　要：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）.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）.

关 键 词：local regularity A-harmonic equation obstacle problem 

分 类 号：O175[理学—数学]