absolute continuity 1ahlfors-david regularity 1harmonic measure 1nta domains 1robin boundary condition 1variable permeability 1
From the 1 of 4 linked papers with an AI index.
Showing math.APShow all
3 papers · 1 filter
math.AP2026
Robin harmonic measure with a variable permeability parameter
Svitlana Mayboroda, Alberto Pacati
The paper investigates solutions to the Robin boundary value problem on bounded one-sided NTA domains with Ahlfors‑David regular boundaries, extending previous results to the case…
math.AP2026
The Poisson problem in domains with Ahlfors regular boundary
Ariel Barton, Svitlana Mayboroda, Alberto Pacati
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…
math.AP2025
The Poisson-Dirichlet problem in domains with Ahlfors regular boundary
Ariel Barton, Svitlana Mayboroda, Alberto Pacati
We present an announcement of some recent results concerning well-posedness of the Poisson-Dirichlet problem with boundary data in Besov spaces with fractional smoothness. This is…