Using the Gegenbauer polynomials and the zonal harmonics functions we give some representation formula of the Green function in the annulus. We apply this result to prove some uniqueness results for some nonlinear elliptic problems.
@article{arxiv.1508.06404,
title = {On the Green function of the annulus},
author = {Massimo Grossi and Djordjije Vujadinovic},
journal= {arXiv preprint arXiv:1508.06404},
year = {2015}
}