有界洞型区域内双调和方程边值问题的可解性  

Solvability to Biharmonic Equation with Boundary Value Conditions in the Bounded Domain with a Hole

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)

机构地区：[1]安庆师范大学数学与计算科学学院,安徽安庆246133

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)

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.

关 键 词：不动点定理 Green恒等式 正解 紧正算子 

分 类 号：O175[理学—数学]