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
DOI: 10.12677/pm.2012.22012, PDF, HTML, 下载: 2,868  浏览: 7,732  国家自然科学基金支持
作者: 熊辉：东莞理工学院数学教研室
关键词: 双调和；奇性；特征值不等式；Biharmonic; Singularity; Eigenvalue Inequality
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。
Abstract: 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.
文章引用：熊辉. 含权双调和椭圆型问题的特征值不等式[J]. 理论数学, 2012, 2(2): 73-77. http://dx.doi.org/10.12677/pm.2012.22012

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