Artur Rutkowski

collaborators

2 papers

math.AP2026

Singular semilinear elliptic equations in nondivergence form

Agnieszka KaÅamajska, Dalimil PeÅ¡a, Artur Rutkowski

We study the singular semilinear equation $- P u = \frac{f}{u ^{3}}$ on a bounded domain $I^c ◯$ with Dirichlet condition $u \equiv 0$ on $\partial I^c ◯$ , where $P$ is a second-order ellip…

math.AP2025

The master equation for mean field game systems with fractional and nonlocal diffusions

Espen Robstad Jakobsen, Artur Rutkowski

We prove existence and uniqueness of classical solutions of the master equation for mean field game (MFG) systems with fractional and nonlocal diffusions. We cover a large class of…