| 一类高维非线性椭圆型方程衰减正整解的存在唯一性 |
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| 引用本文： | 许兴业.一类高维非线性椭圆型方程衰减正整解的存在唯一性[J].广东教育学院学报,2010(5):31-39. |
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| 作者姓名： | 许兴业 |
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| 作者单位： | 广东第二师范学院数学系,广东广州510303 |
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| 基金项目： | 广东第二师范学院教授博士专项经费资助项目 |
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| 摘 要： | 用构造方程弱上解与弱下解,然后用推广的上、下解方法研究一类高维非线性椭圆型方程衰减正整解的存在唯一性.
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| 关 键 词： | 弱上解 弱下解 单调收敛定理 局部Hlder连续 局部Lipschitz连续 强极大值原理 |
The Existence and Uniqueness of Decaying Positive Entire Solutions to a Class of Nonlinear Elliptic Equations in Higher Dimension |
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| XU Xing-ye.The Existence and Uniqueness of Decaying Positive Entire Solutions to a Class of Nonlinear Elliptic Equations in Higher Dimension[J].Journal of Guangdong Education Institute,2010(5):31-39. |
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| Authors: | XU Xing-ye |
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| Institution: | XU Xing-ye(Department of Mathematics,Guangdong University of Education,Guangzhou,Guangdong,510303,P.R China) |
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| Abstract: | This paper studies the existence and uniqueness of decaying positive entire solutions to a class of nonlinear elliptic equations in higher dimension by constructing the weak supersolution and subsolution of equation and making use of the generalized supersolution and subsolution method. |
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| Keywords: | weak supersolution weak subsolution monotone convergence theorem locally Hlder continuous locally Lipschtize continuous strong maxmum principle |
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