Estimates for the p-Green function near the pole

Stefano Borghini; Virginia Agostiniani

Estimates for the p-Green function near the pole

Analysis of PDEs 2026-07-29 v1 Differential Geometry

Authors: Stefano Borghini , Virginia Agostiniani

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].

Cite

@article{arxiv.2607.27071,
  title  = {Estimates for the p-Green function near the pole},
  author = {Stefano Borghini and Virginia Agostiniani},
  journal= {arXiv preprint arXiv:2607.27071},
  year   = {2026}
}