Estimates for the p-Green function near the pole
arXiv:2607.27071
summary
The paper derives refined asymptotic expansions and improved integrability and derivative estimates for p‑Green functions near their pole, both in Euclidean space and on Riemannian manifolds.
Abstract
We study the asymptotic expansion of p-Green functions and their derivatives near the pole. In the Euclidean setting, we strengthen a theorem from [arXiv:2203.01206] by establishing improved integrability properties and estimates for the first and second derivatives. In the more general Riemannian setting, we derive a refined asymptotic expansion of the p-Green function near its pole, thereby improving the corresponding result proved in [arXiv:2512.14591].
Topics & keywords
#p‑laplace equation#green function#asymptotic expansion#riemannian geometry#regularity estimatesp‑Green functionasymptotic expansionintegrabilityderivative estimatesRiemannian manifold