Estimates for lower order eigenvalues of a clamped plate problem

Author:

Cheng Qing-Ming,Huang Guangyue,Wei Guoxin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference11 articles.

1. Ashbaugh M.S.: Isoperimetric and universal inequalities for eigenvalues. In: Davies, E.B., Safarov, Y. (eds) Spectral Theory and Geometry (Edinburgh, 1998). London Mathematics Society Lecture Notes, vol. 273, pp. 95–139. Cambridge University Press, Cambridge (1999)

2. Chen D.G., Cheng Q.-M.: Extrinsic estimates for eigenvalues of the Laplace operator. J. Math. Soc. Jpn 60, 325–339 (2008)

3. Chen Z.C., Qian C.L.: Estimates for discrete spectrum of Laplacian operator with any order. J. China Univ. Sci. Technol. 20, 259–266 (1990)

4. Cheng Q.-M., Ichikawa T., Mametsuka S.: Inequalities for eigenvalues of Laplacian with any order. Commun. Contemp. Math. 11, 639–655 (2009)

5. Cheng Q.-M., Ichikawa T., Mametsuka S.: Estimates for eigenvalues of the poly-Laplacian with any order in a unit sphere. Calc. Var. Partial Diff. Equ. 36, 507–523 (2009). doi: 10.1007s00526-009-0240-7

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