| 一类半线性椭圆方程边值问题的可解性 |
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| 引用本文： | 林冲,钟金标. 一类半线性椭圆方程边值问题的可解性[J]. 安庆师范学院学报(自然科学版), 2012, 0(2): 3-5 |
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| 作者姓名： | 林冲 钟金标 |
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| 作者单位： | 安庆师范学院数学与计算科学学院; |
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| 摘 要： | 利用上、下解方法及不动点理论研究了一类半线性椭圆方程边值问题正解的存在性,并证明了解的唯一性,作为定理的应用,最后给出了一个例子。
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| 关 键 词： | 不动点理论 上、下解方法 边值问题 |
Solvability for Certain Semilinear Elliptic Equations with Boundary Value |
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| LIN Chong,ZHONG Jin-biao. Solvability for Certain Semilinear Elliptic Equations with Boundary Value[J]. Journal of Anqing Teachers College(Natural Science Edition), 2012, 0(2): 3-5 |
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| Authors: | LIN Chong ZHONG Jin-biao |
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| Affiliation: | (School of Mathematics and Computational Science,Anqing Teachers College,Anqing,Anhui 246133,China) |
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| Abstract: | In this paper,we investitigate the solvability of semilinear elliptic equations with boundary value by using the sub-super solution method and the fixed point theorem.Also,we prove the uniqueness of solutions.As the application of the theorem an example is given. |
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| Keywords: | the fixed point theorem the sub-super solution method boundary value problem |
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