## Universal bounds for eigenvalues of a buckling problem II

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- by Qing-Ming Cheng and Hongcang Yang PDF
- Trans. Amer. Math. Soc.
**364**(2012), 6139-6158 Request permission

## Abstract:

In this paper, we investigate universal estimates for eigenvalues of a buckling problem. For a bounded domain in a Euclidean space, we give a positive contribution for obtaining a sharp universal inequality for eigenvalues of the buckling problem. For a domain in the unit sphere, we give an important improvement on the results of Wang and Xia.## References

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## Additional Information

**Qing-Ming Cheng**- Affiliation: Department of Mathematics, Graduate School of Science and Engineering, Saga University, Saga 840-8502, Japan
- Address at time of publication: Department of Applied Mathematics, Faculty of Sciences, Fukuoka University, Fukuoka 814-0180, Japan
- Email: cheng@fukuoka-u.ac.jp
**Hongcang Yang**- Affiliation: Academy of Mathematics and Systematical Sciences, Chinese Academy of Science, Beijing 100080, People’s Republic of China
- Email: yanghc2@netease.com
- Received by editor(s): March 3, 2011
- Received by editor(s) in revised form: July 7, 2011
- Published electronically: April 18, 2012
- Additional Notes: The first author’s research was partially supported by a Grant-in-Aid for Scientific Research from JSPS

The second author’s research was partially supported by SF of CAS - © Copyright 2012 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**364**(2012), 6139-6158 - MSC (2010): Primary 35P15, 53C42
- DOI: https://doi.org/10.1090/S0002-9947-2012-05662-5
- MathSciNet review: 2946945