| 一类R^2上非线性椭圆型方程正整解的存在性及性质 |
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| 引用本文： | 许兴业.一类R^2上非线性椭圆型方程正整解的存在性及性质[J].广东教育学院学报,2009,29(5):29-36. |
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| 作者姓名： | 许兴业 |
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| 作者单位： | 广东教育学院,数学系,广东,广州,510303 |
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| 基金项目： | 广东教育学院教授博士专项经费资助项目 |
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| 摘 要： | 以Schauder—Techonoff不动点定理为工具，研究一类平面上非线性椭圆型方程△u=f（x，↓△u）u^λ（λ〉1）正的整体解的存在性及解的性质．
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| 关 键 词： | 椭圆型方程 正整解 上解 下解 等度连续 不动点定理． |
The Existence and Properties of Positive Entire Solutions for a Class of Nonlinear Elliptic Equations Δu=f(x,▽u)uλ In R2 |
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| XU Xing-ye.The Existence and Properties of Positive Entire Solutions for a Class of Nonlinear Elliptic Equations Δu=f(x,▽u)uλ In R2[J].Journal of Guangdong Education Institute,2009,29(5):29-36. |
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| Authors: | XU Xing-ye |
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| Institution: | XU Xing-ye (Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong, 510303, P. R. China) |
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| Abstract: | In this paper, we study the existence and properties of positive entire solutions for a class of nonlinear elliptic equations △u=f（x,↓△u）u^λ in R^2 with the Schauder-Tychonoff fixed point theorem as the principal. |
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| Keywords: | elliptic equation positive entire solution supersolution and subsolution equicontinuity fixed point theorem |
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