an:04169308
Zbl 0711.35139
Poupaud, Fr??d??ric
Solutions stationnaires des ??quations de Vlasov-Poisson. (Stationary solutions of Vlasov-Poisson equations)
FR
C. R. Acad. Sci., Paris, S??r. I 311, No. 6, 307-312 (1990).
00156043
1990
j
35Q99 82B21 35A35 85A40
repulsive forces; existence; the stationary Vlasov-Poisson boundary value problem
Summary: We establish existence of solutions for the stationary Vlasov-Poisson boundary value problem. These solutions are obtained as limits of solutions of Vlasov-Boltzmann-Poisson equations. The proof is based on a bound for the particles concentration which is obtained thanks upper solutions when the forces are repulsive.