Artur Rutkowski

activity

20182026

collaborators

3 papers

math.AP2026

Singular semilinear elliptic equations in nondivergence form

Agnieszka Kałamajska, Dalimil Peša, Artur Rutkowski

We study the singular semilinear equation $- P u = \frac{f}{u ^{γ}}$ on a bounded domain $Ω$ with Dirichlet condition $u \equiv 0$ on $\partial Ω$ , where $P$ is a second-order elliptic…

math.AP2024

Caloric functions and boundary regularity for the fractional Laplacian in Lipschitz open sets

Gavin Armstrong, Krzysztof Bogdan, Artur Rutkowski

We give Martin representation of nonnegative functions caloric with respect to the fractional Laplacian in Lipschitz open sets. The caloric functions are defined in terms of the me…

math.FA2018

Reduction of integration domain in Triebel-Lizorkin spaces

Artur Rutkowski

We investigate the comparability of generalized Triebel--Lizorkin and Sobolev seminorms on uniform and non-uniform sets when the integration domain is truncated according to the di…