Differential Equations

, Volume 46, Issue 4, pp 530–537 | Cite as

On stationary solutions of the Vlasov-Poisson equations

  • S. I. Pokhozhaev
Partial Differential Equations


We study the existence of stationary solutions of the Vlasov-Poisson equations for x ∈ ℝ N . We prove the absence of stationary solutions represented by Maxwell-Boltzmann distributions.


Stationary Solution Steklov Institute Poisson Equation Boltzmann Distribution Young Inequality 
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© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • S. I. Pokhozhaev
    • 1
  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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