Universal Bounds for Eigenvalues of a Buckling Problem

[1]  Daguang Chen,et al.  Extrinsic estimates for eigenvalues of the Laplace operator , 2008 .

[2]  E. Harrell,et al.  Universal inequalities for the eigenvalues of Laplace and Schr , 2007 .

[3]  C. Xia,et al.  Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds , 2007 .

[4]  C. Xia,et al.  Universal Inequalities for Eigenvalues of the Buckling Problem on Spherical Domains , 2007 .

[5]  Qing-Ming Cheng,et al.  Bounds on eigenvalues of Dirichlet Laplacian , 2006 .

[6]  C. Xia,et al.  Inequalities for eigenvalues of a clamped plate problem , 2005 .

[7]  Q. Cheng,et al.  Estimates on Eigenvalues of Laplacian , 2005 .

[8]  L. Hermi,et al.  A unified approach to universal inequalities for eigenvalues of elliptic operators , 2004 .

[9]  E. Harrell.  Commutators, Eigenvalue Gaps, and Mean Curvature in the Theory of Schrödinger Operators , 2003, math/0312372.

[10]  Mark S. Ashbaugh,et al.  The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H C Yang , 2002 .

[11]  M. Ashbaugh.  Isoperimetric and Universal Inequalities for Eigenvalues , 2000, math/0008087.

[12]  Mark S. Ashbaugh,et al.  Spectral Theory and Geometry: Isoperimetric and universal inequalities for eigenvalues , 1999 .

[13]  S. M. Hook.  Domain-independent upper bounds for eigenvalues of elliptic operators , 1990 .

[14]  G. Hile,et al.  Inequalities for eigenvalues of the biharmonic operator. , 1984 .

[15]  Shing-Tung Yau,et al.  On the Schrödinger equation and the eigenvalue problem , 1983 .

[16]  C. Thompson.  On the Ratio of Consecutive Eigenvalues in N‐Dimensions , 1969 .

[17]  Shmuel Agmon,et al.  On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems , 1965 .

[18]  L. Payne.  A Note on Inequalities for Plate Eigenvalues , 1960 .

[19]  G. Pólya,et al.  ON THE RATIO OF CONSECUTIVE EIGENVALUES , 1956 .

[20]  Å. Pleijel,et al.  On the eigenvalues and eigenfunctions of elastic plates , 1950 .

[21]  E. Harrell,et al.  On trace identities and universal eigenvalue estimates for some partial differential operators , 1997 .

[22]  Howard A. Levine,et al.  Unrestricted lower bounds for eigenvalues for classes of elliptic equations and systems of equations with applications to problems in elasticity , 1985 .

[23]  L. Payne,et al.  Inequalities for Eigenvalues of Membranes and Plates , 1955 .