Dynamical system modeling fermionic limit
  The existence of multiple radial solutions to the elliptic equation modeling fermionic cloud of interacting particles is proved for the limiting Planck constant and intermediate values of mass parameters. It is achieved by considering the related nonautonomous dynamical system for which the passage to the limit can be established due to the continuity of the solutions with respect to the parameter going to zero. 
Dorota Bors and Robert Sta\'nczy
math.DS astro-ph.GA cond-mat.stat-mech math.AP