Inequalities for eigenvalues of a clamped plate problem

By Qiaoling Wang, C. Xia. 2005

73 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/223d8f4368718a523a2586d2c6b970cd26e3b05d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. C. Xia
2. G. Wei
3. Hong-wei Xu
4. Qing Cheng
5. Hongcang Yang

In Computational Theory and Mathematics

1. C. Xia
2. Hong-wei Xu
3. Qing Cheng
4. G. Wei
5. Hongcang Yang

In Mathematical Physics

1. Qing Cheng
2. C. Xia
3. G. Wei
4. Hongcang Yang

Citations in the corpus

• Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds (2014, background): “1 For some of the recent developments about universal inequalities for eigenvalues on Riemannian manifolds, we refer to [1–10,12–15,17,18,25–28] and the references therein.”
• Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds (2007, unknown): “Recently, answering a question of Ashbaugh [1], Cheng and Yang [6] proved the following remarkable estimate: λk+1 − 1 k k ∑ i=1 λi ( 8(n+ 2) n2 )1/2 1 k k ∑ i=1 ( λi(λk+1 − λi) )1/2 .”
• A lower bound for eigenvalues of a clamped plate problem (2009, background): “value problem of Laplacian ∆v= −µv, in Ω, ∂v ∂ν = 0, on ∂Ω. 4 QING-MING CHENG AND GUOXIN WEI Remark 1. On universal estimates for eigenvalues of the clamped plate problem, one can see [6], [7], [8], [10] and [20]. 2. Proof of results For a bounded domain Ω, the moment of inertia of Ω is defined by”
• Lower order eigenvalues of Dirichlet Laplacian (2008, unknown): “[8–10, 13–19, 22, 24, 25] and [26]).”