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arXiv · 1412.4901

Extremal boundedness of a variational functional in point vortex mean field theory associated with probability measures

Takashi Suzuki·Ryo Takahashi·Xiao Zhang
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Abstract

We study a variational functional of Trudinger-Moser type associated with one-sided Borel probability measure. Its boundedness at the extremal parameter holds when the residual vanishing occurs. In the proof we use a variant of the Y.Y. Li estimate.

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Takashi Suzuki, Ryo Takahashi, Xiao Zhang. 2014-12-16. Extremal boundedness of a variational functional in point vortex mean field theory associated with probability measures. https://arxiv.org/abs/1412.4901

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