The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator

2014/07/15 by Chen, Daguang, Sun, He-Jun
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1407.3972

Abstract

In this paper, we establish some lower bounds for the sums of eigenvalues of the polyharmonic operator and higher order Stokes operator, which are sharper than the recent results in \citeCSWZ13, I13. At the same time, we obtain some certain bounds for the sums of positive and negative powers of eigenvalues of the polyharmonic operator.

Related

• Sharp inequalities and asymptotics for polyharmonic eigenvalues
• Universal Bounds for Eigenvalues of the Polyharmonic Operators
• Lower bounds for the spectrum of the Laplace and Stokes operators
• Estimates for Eigenvalues of Poly-harmonic Operators
• Inequalities between Dirichlet and Neumann eigenvalues of the\n Polyharmonic operators