| 一类拟线性椭圆型方程弱解关于区域的稳定性 |
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| 引用本文： | 谢素英,田欢.一类拟线性椭圆型方程弱解关于区域的稳定性[J].应用数学,2009,22(3). |
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| 作者姓名： | 谢素英 田欢 |
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| 作者单位： | 杭州电子科技大学理学院数学系,浙江,杭州,310018 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 利用区域的变分,在一定条件下,讨论拟线性椭圆型方程-div A(x,u,Du)=f(x)弱解关于区域的稳定性.
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| 关 键 词： | 很弱解 弱解 稳定性 一致p-厚边界 Hausdorff拓扑 |
The Stability of Weak Solutions with Respect to Regions for a Class of Quasilinear Elliptic Equations |
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| XIE Su-ying,TIAN Huan.The Stability of Weak Solutions with Respect to Regions for a Class of Quasilinear Elliptic Equations[J].Mathematica Applicata,2009,22(3). |
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| Authors: | XIE Su-ying TIAN Huan |
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| Abstract: | Under some conditions, for quasilinear elliptic equation-div A(x,u,Du) =f(x), the stability of weak solutions with respect to regions is discussed by using region variation. |
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| Keywords: | Very weak solution Weak solution Stability Uniform p- thick boundary Hausdorff topology |
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