Spectral Asymptotics for Laplacian with Mixed Boundary-value Condition |
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作者姓名: | 毛仕宽 陈化 |
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作者单位: | School of Mathematics and Statistics,Wuhan University,Wuhan,430072 |
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基金项目: | The NNSF (10025107) of China and the 973 Projects. |
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摘 要: | Let Ω be a non-empty bounded open set in Rn(n ≥1) with boundary (?)Ω=Γ1∪Γ2. WedefineIn this paper, we consider the following variational eigenvalue problem:where △ denotes the Laplacian in Ω. We say that the scalar λ is an eigenvalue of (P) if
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