Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds
CHENG, Qing-Ming ; ICHIKAWA, Takamichi ; MAMETSUKA, Shinji
J. Math. Soc. Japan, Tome 62 (2010) no. 1, p. 673-686 / Harvested from Project Euclid
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In this paper we study eigenvalues of a clamped plate problem on a bounded domain in an n-dimensional complete Riemannian manifold. By making use of Nash's theorem and introducing k free constants, we derive a universal bound for eigenvalues, which solves a problem proposed by Wang and Xia [16].
Publié le : 2010-04-15
Classification:  universal bound for eigenvalues,  a clamped plate problem,  Riemannian manifold,  35P15,  58G25,  53C42 
@article{1273236717,
     author = {CHENG, Qing-Ming and ICHIKAWA, Takamichi and MAMETSUKA, Shinji},
     title = {Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds},
     journal = {J. Math. Soc. Japan},
     volume = {62},
     number = {1},
     year = {2010},
     pages = { 673-686},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1273236717}
}

CHENG, Qing-Ming; ICHIKAWA, Takamichi; MAMETSUKA, Shinji. Estimates for eigenvalues of a clamped plate problem on Riemannian manifolds. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp.  673-686. http://gdmltest.u-ga.fr/item/1273236717/