| A -调和方程各向异性障碍问题很弱解的正则性 |
| |
| 引用本文： | 徐秀娟,张亚飞.A -调和方程各向异性障碍问题很弱解的正则性[J].河北理工学院学报,2014(3):92-95. |
| |
| 作者姓名： | 徐秀娟 张亚飞 |
| |
| 作者单位： | 河北联合大学理学院,河北唐山063009 |
| |
| 基金项目： | 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。
|
| 关 键 词： | A-调和方程 各向异性 很弱解 正则性 |
Regularity for Very Weak Solutions of Anisotropic Obstacle Problems for A-Harmonic Equations |
| |
| XU Xiu-juan,ZHANG Ya-fei.Regularity for Very Weak Solutions of Anisotropic Obstacle Problems for A-Harmonic Equations[J].Journal of Hebei Institute of Technology,2014(3):92-95. |
| |
| Authors: | XU Xiu-juan ZHANG Ya-fei |
| |
| Institution: | ( College of Science, Hebei United University,Tangshan Hebei 063009, China) |
| |
| Abstract: | 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. |
| |
| Keywords: | A-harmonic equations anisotropic very weak solutions regularity |
| 本文献已被 维普 等数据库收录！ |
