| 一类半线性椭圆方程边值问题古典解与弱解的研究 |
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| 引用本文： | 章永年,钟金标.一类半线性椭圆方程边值问题古典解与弱解的研究[J].安庆师范学院学报(自然科学版),2009,15(4):4-6. |
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| 作者姓名： | 章永年 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 |
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| 基金项目： | 奇异椭圆方程可解性研究项目 |
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| 摘 要： | 本文讨论了一类半线性椭圆方程边值问题古典解与弱解,利用不动点定理和上、下解方法证明了解的存在性,作为定理的应用,给出了一个实例。
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| 关 键 词： | 正解 Leray-Schauder不动点定理 上、下解 |
Discussion on the Classic and Weak Solutions to Boundary Value Problems of a Class of Semilinear Elliptic Equation |
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| ZHANG Yong-nian,ZHONG Jing-biao.Discussion on the Classic and Weak Solutions to Boundary Value Problems of a Class of Semilinear Elliptic Equation[J].Journal of Anqing Teachers College(Natural Science Edition),2009,15(4):4-6. |
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| Authors: | ZHANG Yong-nian ZHONG Jing-biao |
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| Institution: | ZHANG Yong-nian,ZHONG Jing-biao(School of Mathematics , Computational Science,Anqing Teacher's College,Anqing 246133,China) |
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| Abstract: | This paper discusses the classic and weak solution to Boundary Value Problems of a class of Semilinear Elliptic Equation.An existence theorem of solutions is proved by the Leray-Schauder fixed point theorem and the sub-supersolution method.For the application of the theorem,an example are given. |
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| Keywords: | positive solution Leray-Schauder fixed point theorem Sub-super solution |
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