| 一类非线性四阶椭圆型方程边值问题解的存在唯一性 |
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| 引用本文： | 冯艳青,王忠英.一类非线性四阶椭圆型方程边值问题解的存在唯一性[J].数学年刊A辑(中文版),2014,35(4):479-484. |
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| 作者姓名： | 冯艳青 王忠英 |
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| 作者单位： | 常州工学院数学系, 江苏 常州 213002.;常州工学院数学系, 江苏 常州 213002. |
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| 基金项目： | 江苏省教育厅项目(No.13KJD110001)和常州工学院自然科学基金(No.YN0909) |
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| 摘 要： | 借助路径提升问题,利用Banach空间吸引盆理论研究了四阶椭圆型方程边值问题解的存在唯一性,并给出了其解存在唯一的充分条件.文中主要结果为椭圆型方程解的理论研究提供了一类方法,也推广了Alexiades和Elcrat的有关工作.
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| 关 键 词： | 椭圆型方程 边值问题 吸引盆 路径提升问题 存在理论 |
The Existence and Uniqueness of Solutions to Some Nonlinear Fourth Order Elliptic
Boundary Value Problems |
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| FENG Yanqing and WANG Zhongying.The Existence and Uniqueness of Solutions to Some Nonlinear Fourth Order Elliptic
Boundary Value Problems[J].Chinese Annals of Mathematics,2014,35(4):479-484. |
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| Authors: | FENG Yanqing and WANG Zhongying |
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| Institution: | Department of Mathematics, Changzhou Instituty of Technology,
Changzhou 213002, Jiangsu, China.;Department of Mathematics, Changzhou Instituty of Technology,
Changzhou 213002, Jiangsu, China. |
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| Abstract: | Using path-lifting problem and the basin of attraction method, the uniqueness and existence of the
solution to some fourth order elliptic boundary value problems are studied. A set of sufficient conditions
is given. The main results of this paper provide a method for studying the theory of the solution to the nonlinear elliptic equation,
as well as generalize some existing results by Alexiades and Elcrat. |
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| Keywords: | Elliptic equations Boundary value problem Basin of attraction Path-lifting problem Existence theorems |
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