activity
20042026
most citedEstimates and structure of -harmonic functions

99 citations · 217 across the 27 of their papers we have counts for

collaborators

33 papers

math.AP2026

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…

math.AP2024

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…

math.PR2024

Intrinsic ultracontractivity for Schrödinger semigroups based on cylindrical fractional Laplacian on the plane

Tadeusz Kulczycki, Kinga Sztonyk

We study Schrödinger operators on for $α…

math.AP2023

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…

math.PR2022

Drift reduction method for SDEs driven by inhomogeneous singular L{é}vy noise

Tadeusz Kulczycki, Oleksii Kulyk, Michał Ryznar

We study SDE where , with being indepen…

math.AP2021

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…