This paper derives the bounds of the eigenvalues for the uniformly eiliptic operator of second order with variable coefficients. The bounds of the(n+1)th eigenvalue are shown by the first n eigenvalues. These estimate...This paper derives the bounds of the eigenvalues for the uniformly eiliptic operator of second order with variable coefficients. The bounds of the(n+1)th eigenvalue are shown by the first n eigenvalues. These estimates do not depend on the domain in which the problem is cozisidered.展开更多
文摘This paper derives the bounds of the eigenvalues for the uniformly eiliptic operator of second order with variable coefficients. The bounds of the(n+1)th eigenvalue are shown by the first n eigenvalues. These estimates do not depend on the domain in which the problem is cozisidered.