Green function to the biharmonic equation on $n$-dimensional sphere
Ilona Iglewska-Nowak · arXiv (Cornell University) · 2025
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.