Greens functions for certain biharmonic boundary-value problems
Kakharman N.
2025Taylor and Francis Ltd.
Complex Variables and Elliptic Equations
2025
In this paper, we present an explicit form of Greens functions for two biharmonic boundary-value problems in the multidimensional ball. Specifically, we obtain exact representations of Greens functions for a non-standard Robin-type problem, where the boundary conditions depend on the dimension n, and a problem where (Formula presented.) and (Formula presented.) on (Formula presented.), which is distinct from classical settings.
Greens function , inhomogeneous biharmonic equation , Robin-type boundary condition
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Department of Mathematics and Natural Sciences, SDU University, Kaskelen, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Nazarbayev University, Astana, Kazakhstan
Department of Mathematics and Natural Sciences
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
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Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026