99 citations · 217 across the 27 of their papers we have counts for
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Harmonic functions on balls for x-dependent rectilinear stable processes
Tadeusz Kulczycki, Michał 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…
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…
On the interior Bernoulli free boundary problem for the fractional Laplacian on an interval
Tadeusz Kulczycki, Jacek Wszoła
We study the structure of solutions of the interior Bernoulli free boundary problem for on an interval with parameter . In particular, we show that there exi…
On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian
Sven Jarohs, Tadeusz Kulczycki, Paolo Salani
We study the exterior and interior Bernoulli problems for the half Laplacian and the interior Bernoulli problem for the spectral half Laplacian. We concentrate on the existence and…
Starshape of the superlevel sets of solutions to equations involving the fractional Laplacian in starshaped rings
Sven Jarohs, Tadeusz Kulczycki, Paolo Salani
In the present work we study solutions of the problem in , with exterior conditions in and …
On concavity of solution of Dirichlet problem for the equation in a convex planar region
Tadeusz Kulczycki
For a sufficiently regular open bounded set let us consider the equation , with the Dirichlet exterior condition , $x \in D…