Robin harmonic measure with a variable permeability parameter

2025/10/25 by Svitlana Mayboroda, Alberto Pacati, Mayboroda, Svitlana +1
#math.AP

paper · pdf · doi:10.48550/arxiv.2510.22354

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 \citeDavDEMM 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.

Citations

• Sobolev embeddings, extensions and measure density condition

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