| 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,2014,35(4):479~484 |
| 一类非线性四阶椭圆型方程边值问题解的存在唯一性 |
| The Existence and Uniqueness of Solutions to Some Nonlinear Fourth Order EllipticBoundary Value Problems |
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| DOI： |
| 中文关键词: 椭圆型方程,边值问题,吸引盆,路径提升问题,存在理论 |
| 英文关键词:Elliptic equations, Boundary value problem,
Basin of attraction, Path-lifting problem, Existence theorems |
| 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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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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