Existence of axially symmetric solutions to the Vlasov-Poisson system depending on Jacobi's integral

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156806We prove the existence of axially symmetric solutions to the Vlasov--Poisson system in a rotating setting for sufficiently small angular velocity. The constructed steady states depend on Jacobi's integral and the proof relies on an implicit function theorem for operators.19 pagesMathematical PhysicsAnalysis of PDEs35A05; 85A05Existence of axially symmetric solutions to the Vlasov-Poisson system depending on Jacobi's integraltext