含临界位势的半线性双调和方程的正解(英文)  

The Positive Solution of Semilinear Biharmonic Equation with Critical Weight

作　　者：熊辉[1] 冯芙叶[1] 

机构地区：[1]东莞理工学院数学教研室,广东东莞523808

出　　处：《东莞理工学院学报》2006年第1期1-4,共4页Journal of Dongguan University of Technology

基　　金：Supported by the National Science Foundation of China(10371116)

摘　　要：主要研究了一类含临界位势双调和问题。利用Hardy不等式得到一个仅与维数N有关的上限λ*,且当λ<λ*时,不管维数是一般的还是临界的,该问题都至少有一个正解。In this paper, we mainly studied a sort of semilinear weighted critical polyharmonic equations, in the critical weighted situation, by using Hardy inequality we can get an upper limit λ^＊ which is only related to the dimension N, and when λ〈λ^＊, the problem has at least one positive solution regardless of whether the dimension is critical or not.

关 键 词：双调和方程 临界位势 特征值 

分 类 号：O175.25[理学—数学]