| 含有梯度的非线性椭圆型方程的极值原理 |
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| 引用本文： | 冀振斌,燕蜻.含有梯度的非线性椭圆型方程的极值原理[J].山西大学学报(自然科学版),2000,23(3):207-209. |
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| 作者姓名： | 冀振斌 燕蜻 |
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| 作者单位： | 1. 太原市经济干部管理学院,山西,太原,030027
2. 山西大学,信息管理系,山西,太原,030006 |
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| 摘 要： | 考虑了一类含有梯度的非线性椭圆型方程，构造了该方程解的某合适泛函，导出了满足极大值原理的条件，从而可得到梯度等量的估计。
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| 关 键 词： | 非线性椭圆型方程 边值问题 极值原理 梯度 |
| 修稿时间： | 2000-02-20 |
Maximum Principles of Nonlinear Elliptic Equations with Gradient |
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| JI Zheng-bing,YAN Qing.Maximum Principles of Nonlinear Elliptic Equations with Gradient[J].Journal of Shanxi University (Natural Science Edition),2000,23(3):207-209. |
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| Authors: | JI Zheng-bing YAN Qing |
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| Abstract: | A class of nonlinear elliptic equation with gradient is discussed in this paper.Some suitatable functionals for solutions of the equation are defined and some maximum principles for the funnctionals are obtained.Moreover the principles may be used to deduce bounds of gradient. |
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| Keywords: | nonlinear elliptic equation maximum principle boundary value problem |
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