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| 非齐次障碍问题很弱解的局部正则性 | |
| 引用本文： | 刘红,佟玉霞,高春霞.非齐次障碍问题很弱解的局部正则性[J].宁夏大学学报(自然科学版),2011,32(1):4-7. |
| 作者姓名： | 刘红 佟玉霞 高春霞 |
| 作者单位： | 1. 河北大学数学与计算机学院,河北保定,071002 2. 河北理工大学科技学院,河北唐山,063000 3. 河北大学电子与信息科学学院,河北保定,071002 |
| 基金项目： | 河北省自然科学基金资助项目，河北大学青年基金资助项目 |
| 摘 要： | 研究了二阶非齐次椭圆方程的障碍问题，给出其很弱解的定义，并利用Hodge分解等工具得到障碍问题很弱解的局部正则性结果。 |
| 关 键 词： | 非齐次障碍问题 很弱解 局部正则性 |
Local Regularity of the Very Weak Solutions for Nonhomogeneous Obstacle Problems |
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| Liu Hong,Tong Yuxia,Gao Chunxia.Local Regularity of the Very Weak Solutions for Nonhomogeneous Obstacle Problems[J].Journal of Ningxia University(Natural Science Edition),2011,32(1):4-7. | |
| Authors: | Liu Hong Tong Yuxia Gao Chunxia |
| Institution: | Liu Hong1,Tong Yuxia2,Gao Chunxia3(1.School of Mathematics and Computer,Hebei University,Baoding 071002,China,2.School of Science,Hebei Polytechnic University,Tangshan 063000,3.School of Electronics,China) |
| Abstract: | The obstacle problems for second order degenerate nonhomogeneous elliptic equation is studied and the definition of very weak solutions is given by using tools as Hodge decomposition.The higher integrability of the weak derivatives of the solutions is obtained. |
| Keywords: | nonhomogeneous obstacle problems very weak solutions local regularity |
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