Kamil Dunst

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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.AP2021

Double spiral singularities for a flow of regular planar curves

Piotr Kokocki, Kamil Dunst

In this paper we study the singularity formation for the geometric flow of complex curves $z_{t} = - z_{xxx} + \frac{3}{2} ø z_{x} z_{xx}^{2},$ that was derived [R. E. Goldstein and D.…