A constraint variational problem arising in stellar dynamics
Abstract
We use the compactness result of A. Burchard and Y. Guo (cf. BuGu) to analyze the reduced 'energy' functional arising naturally in the stability analysis of steady states of the Vlasov-Poisson system (cf. SaSo and Ha). We consider the associated variational problem and present a new proof that puts it in the general framework for tackling the variational problems of this type, given by Y. Guo and G. Rein (cf. Re1 and Re2).
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