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arXiv · 2603.22067

The Poisson problem in domains with Ahlfors regular boundary

Ariel Barton·Svitlana Mayboroda·Alberto Pacati
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Abstract

We establish well posedness of the Poisson problem in weak local John domains, for linear second order elliptic equations with real coefficients, and with data in weighted Lebesgue spaces with a very broad range of acceptable parameters.

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Ariel Barton, Svitlana Mayboroda, Alberto Pacati. 2026-03-23. The Poisson problem in domains with Ahlfors regular boundary. https://arxiv.org/abs/2603.22067

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