Analysis reveals the Green function for biharmonic equations on spheres, indicating its explicit forms for certain parameters.
Homogeneous and inhomogeneous biharmonic equation are considered on the n -dimensional unit sphere. The Green function is given as a series of Gegenbauer polynomials. Additionally, explicit representations of the Green function are found for some sets of parameters.
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Ilona Iglewska-Nowak (2026) studied this question.
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