The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H C Yang

By M. Ashbaugh. 2002

102 citations recorded by the source corpus.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/beeca46e826cef3a8cc1a5af7308113a334050ca

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. Qing Cheng
2. Hongcang Yang
3. C. Xia
4. Qiaoling Wang
5. R. Benguria
6. M. Ashbaugh
7. Ahmad El Soufi
8. S. Ilias

In Mathematical Physics

1. Qing Cheng
2. Hongcang Yang
3. C. Xia
4. R. Benguria
5. Qiaoling Wang
6. M. Ashbaugh
7. Daniel Daners

Citations in the corpus

• Estimates for eigenvalues on Riemannian manifolds (2009, methodology): “which has been called the first inequality of Yang by Ashbaugh ([1] and [ 2 ] and so on).”
• Inequalities for eigenvalues of a clamped plate problem (2005, background): “which is called Yang’s first inequality (see [1, 2 ]).”
• Isoperimetric Inequalities for Eigenvalues of the Laplacian (2007, background): “We will not review the many generalizations of these bounds that have been obtained (instead, we refer the reader to the review articles [15, 2], and also to the recent articles [4, 21]).”