| 一类奇异半线性椭圆问题的注记 |
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| 引用本文： | 廖家锋,马淑云.一类奇异半线性椭圆问题的注记[J].四川师范大学学报(自然科学版),2012,35(3):335-339. |
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| 作者姓名： | 廖家锋 马淑云 |
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| 作者单位： | 1. 遵义师范学院 数学系,贵州遵义,563002
2. 南阳师范学院 数学与统计学院,河南南阳,473061 |
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| 基金项目： | 贵州省教育厅自然科学基金，遵义师范学院基金 |
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| 摘 要： | 奇异椭圆问题起源于各类应用科学.在减弱奇异项系数函数的条件下,利用上下解方法以及极大值原理获得了一类奇异半线性椭圆问题解的存在性与非存在性的结果,从而推广并完善了现有的结果.
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| 关 键 词： | 奇异椭圆方程 上下解方法 Hopf极大值原理 |
A Remark on the Existence of Solutions for a Class of Singular Semilinear Elliptic Problem |
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| LIAO Jia-feng
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MA Shu-yun.A Remark on the Existence of Solutions for a Class of Singular Semilinear Elliptic Problem[J].Journal of Sichuan Normal University(Natural Science),2012,35(3):335-339. |
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| Authors: | LIAO Jia-feng MA Shu-yun |
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| Institution: | 1.Department of Mathematics,Zunyi Normal College,Zunyi 563002,Guizhou; 2.School of Mathematics and Statistics,Nanyang Normal College,Nanyang 473061,Henan) |
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| Abstract: | In this paper,we study a class of singular semilinear elliptic problem,which arise from many branches of mathematics and applied mathematics.In this paper,existence and nonexistence results are obtained for this problem by sub-supersolution method and maximum principle under weaker condition of the coefficient function of the singular term. |
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| Keywords: | singular elliptic equations sub-supersolution method Hopf’s maximum principle |
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