Tomasz Klimsiak

activity

20092026

most citedDirichlet forms and semilinear elliptic equations with measure data

53 citations · 217 across the 49 of their papers we have counts for

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Showing 2026 · math.APShow all

3 papers · 2 filters

math.AP2026

Stability of Solutions to Semilinear Exterior Dirichlet Problems under Convergence of Lévy Symbols

Tomasz Klimsiak, Andrzej Rozkosz, Leszek Słomiński

We study stability of semilinear exterior Dirichlet problems driven by possibly nonsymmetric Levy operators. Let $L^{n}$ and $L$ have Lévy-Khintchine symbols $ψ_{n}$ and $ψ$ , respectiv…

math.AP2026

Isolated Singularities and Measure Data Problems for Semilinear Equations Driven by Stable Lévy Operators

Kamil Dunst, Tomasz Klimsiak

We investigate positive solutions of semilinear equations driven by uniformly elliptic strictly $2 s$ -stable Lévy operators, where $s \in (0, 1)$ . We first prove that every positive d…

math.AP2026

Positive Solutions for Sublinear Equations with Compact Positivity-Improving Resolvent

Tomasz Klimsiak

We establish a Brézis-Oswald-type spectral principle for semilinear equations \[ -Lu=f(x,u), \] where $L$ is the generator of a positive $C_{0}$ -semigroup on $L^{p}$ with compact posit…