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Pure Mathematics 2012
含权双调和椭圆型问题的特征值不等式
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Abstract:
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.
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