期刊文献+

一类高维非线性椭圆型方程衰减正整解的存在唯一性

The Existence and Uniqueness of Decaying Positive Entire Solutions to a Class of Nonlinear Elliptic Equations in Higher Dimension
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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. 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.
作者 许兴业
出处 《广东教育学院学报》 2010年第5期31-39,共9页 Journal of Guangdong Education Institute
基金 广东第二师范学院教授博士专项经费资助项目
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 weak supersolution weak subsolution monotone convergence theorem locally Hlder continuous locally Lipschtize continuous strong maxmum principle
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参考文献8

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