| 一类非线性项符号变化的半线性椭圆方程边值问题解的研究 |
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| 引用本文： | 刘兵,钟金标.一类非线性项符号变化的半线性椭圆方程边值问题解的研究[J].安庆师范学院学报(自然科学版),2012,18(2):1-2. |
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| 作者姓名： | 刘兵 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,安徽安庆,246133;安庆师范学院数学与计算科学学院,安徽安庆,246133 |
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| 摘 要： | 本文利用隐函数定理,证明了一类非线性项符号发生改变的半线性椭圆方程边值问题解的存在性,研究了解的非负性及唯一性,最后给出了一个例子说明其实现的应用。
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| 关 键 词： | 隐函数定理 正解 半线性椭圆方程边值问题解 |
Solvability Research for Bonundary Value Problem of a Semilinear Elliptic Equation with Sign Changing Nonlinearity |
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| LIU Bing,ZHONG Jin-biao.Solvability Research for Bonundary Value Problem of a Semilinear Elliptic Equation with Sign Changing Nonlinearity[J].Journal of Anqing Teachers College(Natural Science Edition),2012,18(2):1-2. |
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| Authors: | LIU Bing ZHONG Jin-biao |
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| Institution: | (School of Math.and computational Science,Anqing Teachers College,Anqing,Anhui 246113,China) |
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| Abstract: | The existence for a semilinear elliptic equation boundary value problem with sign changing nonllinearity is proved by using the implicit function theorem,and the nonnegativity and uniqueness of solutions are researched.As the application of theorem an example is given. |
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| Keywords: | implicit function theorem positive solution boundary value problem of nonlinear elliptic equation |
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