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一类双调和方程的可解性

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吴琼[1,2] 钟金标[1]

[1]安庆师范学院,安徽安庆246011 [2]安徽大学,安徽合肥230039

应用数学
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国际标准刊号:ISSN 1001-9847
国内统一刊号:CN 42-1184

摘  要:

利用上下解方法、嵌入定理和Leray-schauder不动点定理证明了一类双调和方程弱解的存在性定理.做为定理的应用,给出了一个实例.[著者文摘]

The Leray~schauder fixed point theorem ;The imbed—ding theorem CLC Number:Ol 75 AMS(2000)Subject Classification:36J65 Document code:A Article ID:1OO1—9847(2007)04—0748—04 The solutions to the boundary value problem for biharmonic equation have been exten—cively discussed.For examples,[1~4_7are such papers published recently.In this paper,we transfer the problem of biharmonic equation into the problem of elliptic equation syste......

文章出处:

《应用数学》-2007年20卷4期 -748-751页

Mathematica Applicata

分 类 号:

O175

文献标识码:

A

文章编号:

1001-9847(2007)04-0748-04

相关文章:

参考文献(8篇)  主题相关

[参考文献]

Solvability for Certain Biharmonic Equation

WU Qiong(Anqing Teachers College,Anqing 246011,China;Anhui University,Hefei 230039,China)  ZHONG Jin-biao(Anhui University,Hefei 230039,China) 

Abstract:

An existence theorem of weak solution to a class of biharmonic equation was proved by the sub-super-solution method,the imbedding theorem and the Leray-schauder fixed point theorem.As the application of the theorem.an example was given.[著者文摘]

Key words:

Sub-super-solution;The Leray-schauder fixed point theorem;The imbedding theorem

收稿日期: 2007-04-09

基金资助:

Supported by the National Natural Science Foundation of China(06022078c)

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