Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere
Kanguzhin B. Dosmagulova K.
2023DergiPark
Advances in the Theory of Nonlinear Analysis and its Applications
2023#7Issue 2428 - 440 pp.
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.
Green’s functions for elliptic equations , Laplace-Beltrami operator , two-dimensional punctured sphere , well-posed problems
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Department of Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan
Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Ghent, Belgium
Department of Mathematics
Department of Mathematics: Analysis
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