一类奇异的非线性椭圆型方程的正整解

吉林大学学报(工学版) ›› 2000, Vol. ›› Issue (4): 44-47.

一类奇异的非线性椭圆型方程的正整解

李兆兴¹, 刘昭瑞²

1. 大庆高等专科学校计算机系, 黑龙江, 大庆, 163712;
2. 铁人中学, 黑龙江, 大庆, 163712

收稿日期:2000-01-16 出版日期:2000-10-25

Positive Entire Solutions of a Class of Singular Nonlinear Elliptic Equations

LI Zhao-xing¹, LIU Zhao-rui ²

1. Dept of Computer Science, Daqing Higher Technical School, Daqing 163712, China;
2. Iron Man Middle School, Daqing 163712, China

Received:2000-01-16 Online:2000-10-25

摘要/Abstract

摘要： 对于任何自然数N≥ 3,利用Schauder不动点定理建立了一类奇异非线性椭圆型方程在R^N上的正整解的存在性,推广了文献[1]的结果。

关键词: 奇异非线性椭圆型方程, 正整解, 存在性

Abstract: The existence of positive entire solutions on R^N,N≥3 is established for a singular nonlinear elliptic equation by utilizing the Schauder fixed point theorem.The research generalizes the results of paper[1].

Key words: singular nonlinear elliptic equation, positive entire solution, existence

中图分类号:

O175.25

李兆兴, 刘昭瑞. 一类奇异的非线性椭圆型方程的正整解[J]. 吉林大学学报(工学版), 2000, (4): 44-47.

LI Zhao-xing, LIU Zhao-rui . Positive Entire Solutions of a Class of Singular Nonlinear Elliptic Equations[J]. 吉林大学学报(工学版), 2000, (4): 44-47.

参考文献

[1] 叶常青.一类奇异的非线性椭圆型方程的正整解Ⅱ ［J］.数学研究,1998 ,31(4):459-465.
[2] 许兴业.关于奇异的非线性椭圆型方程正的整体解的存在性［J］.数学杂志,1995,(4):421-427
[3] 叶常青.一类奇异的非线性椭圆型方程正整解的存在性［J］.数学研究,1997,30(4):420-425.

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