Bifurcation from the Kurth solution in galactic dynamics

Abstract

It will be shown that there exists an infinite-dimensional continuum ${\cal C}$ of weak static solutions of the Vlasov-Poisson system that bifurcates from the Kurth solution. Each $f_\ast\in {\cal C}$ has the charge density $\rho_{f_\ast}=\rho_{{\rm Kurth}}$, and (like the Kurth solution itself) each $f_\ast$ is surrounded by time-periodic weak solutions.