A-调和方程各向异性障碍问题很弱解的正则性  

Regularity for Very Weak Solutions of Anisotropic Obstacle Problems for A-Harmonic Equations

作　　者：徐秀娟[1] 张亚飞[1] 

机构地区：[1]河北联合大学理学院,河北唐山063009

出　　处：《河北联合大学学报（自然科学版）》2014年第3期92-95,共4页Journal of Hebei Polytechnic University:Social Science Edition

基　　金：河北省自然基金项目资助(A2013209278)

摘　　要：在各项异性障碍问题弱解和各项同性障碍问题很弱解的研究基础上,采用Hodge分解定理,借助于Sobolev空间理论及其相关的一些重要不等式,得出各向异性障碍问题的很弱解及其正则性。On the base of the research of weak solutions for anisotropic obstacle problems and very weak solutions for isotropic obstacle problems,the regularity of the very weak solutions of the anisotropic obstacle problems are ob-tained by constructing special test functions and using the Hodge decomposition theorem,some inequalities and the-ory analysis in Sobolev space.

关 键 词：A-调和方程 各向异性 很弱解 正则性 

分 类 号：O175[理学—数学]