| 一类Rn上非线性椭圆型方程正整解的存在性及其性质 |
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| 引用本文： | 蒋银山. 一类Rn上非线性椭圆型方程正整解的存在性及其性质[J]. 数学研究, 2013, 0(2): 151-159,166 |
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| 作者姓名： | 蒋银山 |
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| 作者单位： | 广东外语外贸大学南国商学院公共课教学部,广东广州510545 |
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| 摘 要： | 以Schauder-Tychonoff不动点定理为工具,应用上、下解得方法,建立一类高维非线性椭圆型方程△u=f（x,▽u）uβ,（x∈Rn,n≥3,0〈β〈1）正整解的存在性和性质的定理,所得的结果丰富和发展了Kawano等和许兴业的结果.
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| 关 键 词： | 椭圆型方程 正整解 上解 下解 连续映照 不动点定理 |
The Existence and Properties of Positive Entire Solutions for a Class Nonlinear Elliptic Equations in Rn |
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| Jiang Yinshan. The Existence and Properties of Positive Entire Solutions for a Class Nonlinear Elliptic Equations in Rn[J]. Journal of Mathematical Study, 2013, 0(2): 151-159,166 |
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| Authors: | Jiang Yinshan |
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| Affiliation: | Jiang Yinshan (Department of Public Course Teaching, South China Business College, Guangdong University of Foreign Studies, Guangzhou Gungdong 510545) |
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| Abstract: | Our in this paper aim is to establish the theorems of existence and obain the properties of positive entire solutions a for a class of nonlinear elliptic equations △u=f（x,▽u）uβ,（x∈Rn,n≥3,0〈β〈1） with the Schauder-tychonoff fixed point theorem as the principal tool and the methods of pupersolution and subsolution. It enrichs and develops the results of Kawano et al. and Xu Xingye. |
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| Keywords: | Elliptic equations Positive entire solution Pupersolution and subsolution Continuous mapping Fxed point theorem |
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