ON THE DIFFERENCE OF CONSECUTIVE EIGENVALUES OF UNIFORMLY ELLIPTIC OPERATORS OF HIGHER ORDERS
Citation:
Chen Zuchi,Qian Chunlin.ON THE DIFFERENCE OF CONSECUTIVE EIGENVALUES OF UNIFORMLY ELLIPTIC OPERATORS OF HIGHER ORDERS[J].Chinese Annals of Mathematics B,1993,14(4):435~442
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Authors:
Chen Zuchi; Qian Chunlin
Abstract:
This paper considers the upper bound for the difference of consecutive eigenvalues of a class of uniformly elliptic operators of higher orders. The upper bound of $\lambda _{n+1}-\lambda _n$ is dependent on the first n - 1 eigenvalues and the coefficients in equations.