Green function to the biharmonic equation on $n$-dimensional sphere

Ilona Iglewska-Nowak

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arXiv · 2507.03455

Green function to the biharmonic equation on $n$-dimensional sphere

Ilona Iglewska-Nowak

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Abstract

Homogeneous and inhomogeneous biharmonic equation are considered on the $n$-dimensional unit sphere. The Green function is given as a series of Gegenbauer polynomials. In the paper, explicit representations of the Green function are found for some sets of parameters.

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Ilona Iglewska-Nowak. 2025-07-04. Green function to the biharmonic equation on $n$-dimensional sphere. https://arxiv.org/abs/2507.03455

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