标题:
含权双调和椭圆型问题的特征值不等式Eigenvalue Inequality for a Weighted Biharmonic
Elliptic Problem
作者:
熊辉
关键字:
双调和, 奇性, 特征值不等式Biharmonic; Singularity; Eigenvalue Inequality
期刊名称:
《Pure Mathematics》, Vol.2 No.2, 2012-04-26
摘要:
本文主要讨论了一类含权的双调和椭圆型Dirichlet边值问题的第一和第二特征值之间的关系，通过一些变分技巧得到了相关的不等式，并在低维数空间给出了一些估计。
In this paper, we study the relation between the first and the second eigenvalue of a weighted biharmonic elliptic problem with Dirichlet boundary. By some variational technique we obtain the corresponding inequality, and some evaluations are put forward in low dimension space.