From the 1 of 4 linked papers with an AI index.
4 papers
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…
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…
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…
Some remarks on singular capillary cones with free boundary
Alberto Pacati, Giorgio Tortone, Bozhidar Velichkov
We study minimizing singular cones with free boundary associated with the capillarity problem. Precisely, we provide a stability criterion la Jerison-Savin for capillary hyper…