caa a22 4500 44584356X CHVBK 20180317145352.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s00526-010-0340-4 doi (NATIONALLICENCE)springer-10.1007/s00526-010-0340-4 Inequalities for eigenvalues of a clamped plate problem [Elektronische Daten] [Qiaoling Wang, Changyu Xia] In this paper we study eigenvalues of a clamped plate problem on compact domains in complete manifolds. For complete manifolds admitting special functions, we prove universal inequalities for eigenvalues of clamped plate problem independent of the domains of Payne-Pólya-Weinberger-Yang type. These manifolds include Hadamard manifolds with Ricci curvature bounded below, a class of warped product manifolds, the product of Euclidean spaces with any complete manifolds and manifolds admitting eigenmaps to a sphere. In the case of warped product manifolds, our result implies a universal inequality on hyperbolic space proved by Cheng-Yang. We also strengthen an inequality for eigenvalues of clamped plate problem on submanifolds in a Euclidean space obtained recently by Cheng, Ichikawa and Mametsuka. Springer-Verlag, 2010 Wang Qiaoling Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília, DF, Brazil aut Xia Changyu Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília, DF, Brazil aut Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 273-289 0944-2669 40:1-2<273 2011 40 526 https://doi.org/10.1007/s00526-010-0340-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00526-010-0340-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wang Qiaoling Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília, DF, Brazil aut NATIONALLICENCE 700 1- Xia Changyu Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília, DF, Brazil aut NATIONALLICENCE 773 0- Calculus of Variations and Partial Differential Equations Springer-Verlag 40/1-2(2011-01-01), 273-289 0944-2669 40:1-2<273 2011 40 526 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer