Author

Tomasz Klimsiak

h-index 13 View on Semantic Scholar

We have 2 of 80 papers

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

Stability of Solutions to Semilinear Exterior Dirichlet Problems under Convergence of L\'evy Symbols

We study stability of semilinear exterior Dirichlet problems driven by possibly nonsymmetric Levy operators. Let $L^n$ and $L$ have L\'evy-Khintchine symbols $\psi_n$ and $\psi$, respectively. Our basic assumption on the operators is that $\psi_n(\xi)\to\psi(\xi)$ for every $\xi\in\mathbb R^d$. Under mild regularity as...

Tomasz Klimsiak, A. Rozkosz, Leszek Słomiński · 0 citations

Preprint Jul 2026

Isolated Singularities and Measure Data Problems for Semilinear Equations Driven by Stable L\'evy Operators

We investigate positive solutions of semilinear equations driven by uniformly elliptic strictly $2s$-stable L\'evy operators, where $s\in (0,1)$. We first prove that every positive distributional solution of $-Lu=u^p$ in a punctured domain $D\setminus\{0\}$ satisfies $-Lu=u^p+k\delta_0$ in $D$ for some $k\ge0$, and tha...

Kamil Dunst, Tomasz Klimsiak · 0 citations