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Arnold's Trivium
1991 Arnold's Trivium
77
Problem 77
Problem 77
Source:
July 1, 2010
geometry
3D geometry
sphere
articles
Problem Statement
Find the eigenvalues and their multiplicities of the Laplace operator
Δ
=
div grad
\Delta = \text{div grad}
Δ
=
div grad
on a sphere of radius
R
R
R
in Euclidean space of dimension
n
n
n
.
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