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arXiv · 2607.27071

Estimates for the p-Green function near the pole

Stefano Borghini·Virginia Agostiniani
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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].

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Stefano Borghini, Virginia Agostiniani. 2026-07-29. Estimates for the p-Green function near the pole. https://arxiv.org/abs/2607.27071

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