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奇异半线性椭圆问题解的存在与不存在性(英文) 被引量：4

EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR SOME SINGULAR SEMILINEAR ELLIPTIC PROBLEM
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摘要 本文研究了奇异半线性椭圆问题.利用上下解方法,获得了该问题解的一个存在性和不存在性结果. In the article, a singular semilinear elliptic problem is considered. By using sub- supersolution method, existence and nonexistence results for solutions of this problem are obtained.
作者 廖家锋 张鹏
机构地区 遵义师范学院数学系
出处 《数学杂志》 CSCD 北大核心 2011年第5期777-784,共8页 Journal of Mathematics
基金 Supported by the Natural Science Foundation of Educational Department of Guizhou Province (2010086)
关键词 奇异椭圆方程 上下解方法 存在性 singular elliptic equations sub-supersolution method existence
分类号 O176.3 [理学—基础数学]
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共引文献1

同被引文献23

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  • 2SUN Yi-jing, WU Shao-ping, LONG Yi-ming. Combined Effects of Singular and Superlinear Nonlinearities in Some Sin- gular Boundary Value Problems [J]. J Differential Equations, 2001, 176: 511-531.
  • 3SUN Yi-jing, WU Shao-ping. An Exact Estimate Result for a Class of Singular Equations with Critical Exponents [J]. J Funct Anal, 2011, 260: 1257-1284.
  • 4CHABROWSKI J. On the Neumann Problem with Singular and Superlinear Nonlinearities [J]. Commun Appl Anal, 2009, 13(3): 327-339.
  • 5LIAO Jia-feng, LIU Jiu, TANG Chun-lei, et al. Existence of Two Positive Solutions for a Singular Neumann Problem [J]. Electronic Journal of Differential Equations, 2014, 84 : 1- 17.
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  • 9Lair A V, Shaker A W. Classical and weak solutions of a singular semilinear elliptic problem [ J ]. J Math Anal Appl, 1997,211 : 371 - 385.
  • 10Sun Y J, Wu S P, Long Y M. Combined effects of singular and superlinear non - linearities in some singular boundary value prob- lems[J]. J DiffEqns,2001,176:511-531.

引证文献4

二级引证文献9

数学杂志
2011年 第5期

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