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非齐次障碍问题的很弱解的局部可积性

Some Properties of Very Weak Solutions to Nonhomogeneous Obstacle Problems
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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. 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.
作者 高林庆 史明宇
机构地区 河北大学研究生学院 湖南大学数学与计量经济学院
出处 《河北大学学报（自然科学版）》 CAS 北大核心 2010年第4期348-352,共5页 Journal of Hebei University(Natural Science Edition)
基金 河北省自然科学基金资助项目(07M003)
关键词 非齐次障碍问题 很弱解 逆Hlder不等式 nonhomogeneous obstacle problem very weak solution reverse Hlder inequality
分类号 O174.45 [理学—基础数学]
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参考文献7

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二级参考文献8

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共引文献11

河北大学学报（自然科学版）
2010年 第4期

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