| 双障碍问题中梯度的局部和全局可积性 |
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| 引用本文： | 佟玉霞,谷建涛,孟宪瑞.双障碍问题中梯度的局部和全局可积性[J].应用数学,2009,22(2). |
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| 作者姓名： | 佟玉霞 谷建涛 孟宪瑞 |
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| 作者单位： | 河北理工大学理学院,河北,唐山,063009 |
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| 摘 要： | 本文研究形如△·Ap(x,u,△u)=0的二阶拟线性椭圆方程的双障碍问题,获得了双障碍问题中解的梯度的局部和全局可积性,这些结果可用于证明双障碍问题解的稳定性.
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| 关 键 词： | 双障碍问题 可积性 p-Poincaré厚 p-Poincaré thick |
Local and Global Integrability of Derivatives of Solutions in Double Obstacle Problem |
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| TONG Yu-xia,GU Jian-tao,MENG Xian-rui.Local and Global Integrability of Derivatives of Solutions in Double Obstacle Problem[J].Mathematica Applicata,2009,22(2). |
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| Authors: | TONG Yu-xia GU Jian-tao MENG Xian-rui |
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| Abstract: | Local and global integrability of the derivatives of solutions to double obstacle problems associated with the second-order quasilinear elliptic differential equation △·Ap(x,u,△u)=0 is obtained under natural assumptions on obstacles.This result can be used to prove a stability result for solutions to double obstacle problems for varying equations. |
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| Keywords: | Double obstacle problem Integrability |
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