Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:7 Issue:2
Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

Authors : Baltabek KANGUZHİN, Karlygash DOSMAGULOVA

Pages : 428-440

Doi:10.31197/atnaa.1253855

View : 33 | Download : 39

Publication Date : 2023-07-23

Article Type : Research Paper

Abstract :An arbitrary point is removed from a three-dimensional Euclidean space on a two-dimensional sphere. The new well-posed solvable boundary value problems for the corresponding Laplace-Beltrami operator on the resulting punctured sphere are presented. To formulate the well-posed problems some properties of Green\`s function of the Laplace-Beltrami operator on a two-dimensional sphere are previously studied in detail.
Keywords : Laplace Beltrami operator, two dimensional punctured sphere, well posed problems, Green\`s functions for elliptic equations

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