摘要
这篇文章利用不动点定理证明了有界洞型区域内双调和方程边值问题正解的存在性及唯一性.并对解的不存在情形进行了研究.
We discuss the existence and uniqueness of positive solutions in the paper for a class of biharmonic equation boundary value problems in a bounded domain in R with a‘hole’by using the fixed point theorem.Also,a nonexistence situation of positive solutions have been research.
作者
王花
钟金标
方兴
WANG Hua;ZHONG Jin-biao;FANG Xing(School of Mathematics and Computation Sciences,Anqing Normal University,Anqing Anhui 246133,China)
出处
《大学数学》
2018年第5期7-11,共5页
College Mathematics
基金
安徽省自然科学基金研究项目(1608085MA14)
关键词
不动点定理
Green恒等式
正解
紧正算子
fixed point theorem
green identity
positive solution
compact and positive operator
