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arXiv · 2510.22354

Robin harmonic measure with a variable permeability parameter

Svitlana Mayboroda·Alberto Pacati
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Abstract

In this paper we study the behavior of the solutions to the Robin problem in bounded $1$-sided NTA domains with Ahlfors-David regular boundary, generalizing the results of \cite{DavDEMM} to the case of a non constant Robin parameter. In particular, we will prove the mutual absolute continuity of the Robin harmonic measure with respect to the surface measure in the setting of variable permeability.

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Svitlana Mayboroda, Alberto Pacati. 2025-10-25. Robin harmonic measure with a variable permeability parameter. https://arxiv.org/abs/2510.22354

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