| 非齐次障碍问题的很弱解的局部可积性 |
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| 引用本文： | 高林庆,史明宇. 非齐次障碍问题的很弱解的局部可积性[J]. 河北大学学报(自然科学版), 2010, 30(4) |
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| 作者姓名： | 高林庆 史明宇 |
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| 作者单位： | 河北大学,研究生学院,河北,保定,071002;湖南大学,数学与计量经济学院,湖南,长沙,410082 |
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| 基金项目： | 河北省自然科学基金资助项目 |
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| 摘 要： | 研究二阶非齐次拟线性椭圆方程障碍问题的很弱解的性质,应用Mcshane扩张定理,得到其在可积指数p≥2情况下的拟最小化性质以及其局部可积性结果,并证明很弱解的全局可积性.
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| 关 键 词： | 非齐次障碍问题 很弱解 逆H(o)lder不等式 |
Some Properties of Very Weak Solutions to Nonhomogeneous Obstacle Problems |
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| GAO Lin-qing,SHI Ming-yu. Some Properties of Very Weak Solutions to Nonhomogeneous Obstacle Problems[J]. Journal of Hebei University (Natural Science Edition), 2010, 30(4) |
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| Authors: | GAO Lin-qing SHI Ming-yu |
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| Abstract: | The properties of very weak solutions to nonhomogeneous obstacle problems associated with second order quasilinear eliptic differential equation are studied.By using McShane extension theorem,a quasiregular property and local regularity result of the derivatives of very weak solutions are obtained.And these results can be used to prove the gloabe integrability of very weak solutions. |
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| Keywords: | nonhomogeneous obstacle problem very weak solution reverse Hlder inequality |
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