| 一类椭圆型方程边值问题的可解性 |
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| 引用本文： | 赵舵舵,钟金标.一类椭圆型方程边值问题的可解性[J].安庆师范学院学报(自然科学版),2011,17(2):1-3,6. |
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| 作者姓名： | 赵舵舵 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： | 本文利用不动点定理上下解方法研究了一类椭圆方程非线性项在无穷远处分别为次线性、渐近线性和超线性解的存在性、不存在性以及解的唯一性。
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| 关 键 词： | 不动点定理 紧正算子 正解 |
Solvability of Boundary Value Problems of a Class of Elliptic Equations |
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| ZHAO Duo-duo,ZHONG Jin-biao.Solvability of Boundary Value Problems of a Class of Elliptic Equations[J].Journal of Anqing Teachers College(Natural Science Edition),2011,17(2):1-3,6. |
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| Authors: | ZHAO Duo-duo ZHONG Jin-biao |
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| Institution: | (School of Mathematics and Computational Science,Anqing Teachers College,Anqing 246113,China) |
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| Abstract: | In this paper,the existence,nonexistence and uniqueness theorems of positive solutions to a class of elliptic equations are proved by fixed point theorem and the sub-super solution method,with the nonlinear item being sub-linear,asymptotically linear and super-linear at infinity. |
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| Keywords: | fixed point theorem compact and positive operator positive solution |
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