ESTIMATES ON EIGENVALUES FOR THE BIHARMONIC OPERATOR ON A BOUNDED DOMAIN IN Hn(-1)
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作者:
Huang Guangyue
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机构:
Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Huang Guangyue
[1
,2
]
Li Xingxiao
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机构:
Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R ChinaTsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
Li Xingxiao
[2
]
机构:
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Henan Normal Univ, Dept Math, Xinxiang 453007, Peoples R China
In this paper, we consider eigenvalues of the Dirichlet biharmonic operator on a bounded domain in a hyperbolic space. We obtain universal bounds on the (k + 1)th eigenvalue in terms of the first kth eigenvalues independent of the domains.