Weighted Estimates of Eigenvalues for a Class of Elliptic Equations with Higher Orders
Zhen-Ming Huang · 2008
This paper studies weighted estimates of eigenvalues for elliptic equations with higher orders. The inequality of the upper bound of the(n+1) eigenvalues is estimated from the first n eigenvalues by using eigenvalue theory, integral and inequality estimation. The estimate coefficients are not related to the measure of the domain discussed. The results are the generalization of the theorems and have potential values in mechanics and physics.