Bounds on eigenvalues of Dirichlet Laplacian

By Qing Cheng, Hongcang Yang. 2006

126 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/c06c14695467d566d7b0dacf8b77088233dd03bf

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. Hongcang Yang
2. Qing Cheng
3. C. Xia

In Computational Theory and Mathematics

1. Hongcang Yang
2. Qing Cheng
3. C. Xia

In Mathematical Physics

1. Hongcang Yang
2. Qing Cheng

Citations in the corpus

• Extrinsic estimates for eigenvalues of the Laplace operator (2008, unknown): “Since the upper bound for λk+1 of Cheng and Yang [ 6 ] does hold not only for eigenvalues, but also for any positive real numbers which satisfy Yang’s first inequality and the inequality of Payne, P´ olya and Weinberger which is same as (1.11), we infer, from the theorem 1.1 and the therorem 1.2,”
• Estimates for eigenvalues on Riemannian manifolds (2009, methodology): “1 with t = n of Cheng and Yang [10], we have”