P. Rybka

activity

20082025

most citedA caricature of a singular curvature flow in the plane

14 citations · 41 across the 22 of their papers we have counts for

collaborators

Showing 2018 · math.APShow all

2 papers · 2 filters

math.AP2018★ 2 cited

A stationary heat conduction problem

Piotr Rybka, Anna Zatorska-Goldstein

We study a basic linear elliptic equation on a lower dimensional rectifiable set $S$ in $R^{N}$ with the Neumann boundary data. Set $S$ is a support of a finite Borel measur…

math.AP2018

Free boundary problems arising in the theory of maximal solutions of equations with exponential nonlinearities

Michal Kowalczyk, Angela Pistoia, Piotr Rybka +1

We consider equations of the form $Δ u + λ^{2} V (x) e^{u} = ρ$ in various two dimensional settings. We assume that $V > 0$ is a given function, $λ > 0$ is a small parameter and $ρ=\mathcal…