Geodesic
Enclosure Theorems for Eigenvalues of Elliptic Operators
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 1-7

Voir la notice de l'article provenant de la source Cambridge University Press

Let L be the linear, elliptic, self-adjoint partial differential operator given by where Dj denotes partial differentiation with respect to xj , 1 ≤ j ≤ n, b is a positive, continuous real-valued function of x = (x 1,...,x n) in n-dimensional Euclidean space En , the aij are real-valued functions possessing uniformly continuous first partial derivatives in En and the matrix {aij } is everywhere positive definite. A solution u of Lu = 0 is assumed to be of class C1. 
Clements, John C. Enclosure Theorems for Eigenvalues of Elliptic Operators. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 1-7. doi: 10.4153/CMB-1970-001-8
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