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math.AP2026
Harmonic functions on balls for x-dependent rectilinear stable processes
Tadeusz Kulczycki, MichaÅ Ryznar
We obtain sharp estimates for functions harmonic with respect to -dependent rectilinear stable processes in balls, under the assumption that the Dirichlet exterior data are radi…
math.AP2025
Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian
Sven Jarohs, Tadeusz Kulczycki, Paolo Salani
In this work, we study the asymptotic behavior of the free boundary of the solution to the exterior Bernoulli problem for the half Laplacian when the Bernoulli's gradient parameter…