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.
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.
出处
《数学年刊（A辑）》
CSCD
北大核心
2014年第4期479-484,共6页
Chinese Annals of Mathematics
基金
江苏省教育厅项目(No.13KJD110001)
常州工学院自然科学基金(No.YN0909)的资助
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
Elliptic equations, Boundary value problem, Basin of attraction,Path-lifting problem, Existence theorems
