On the Green’s Function of the Perturbed Laplace-Beltrami Operator with a Finite Number of Punctured Points on the Two-Dimensional Sphere
摘要
We present well-posed boundary value problems for the corresponding Laplace-Beltrami operator on the punctured sphere. To formulate well-posed problems, some properties of Green’s function for the Laplace-Beltrami operator on the two-dimensional sphere in the three-dimensional Euclidean space, which have previously been studied in detail, are presented here. The Green’s function of the Laplace-Beltrami operator on the two-dimensional sphere with a finite number of punctured points is presented.