Extremal boundedness of a variational functional in point vortex mean field theory associated with probability measures
Analysis of PDEs
2014-12-17 v1
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.
Keywords
Cite
@article{arxiv.1412.4901,
title = {Extremal boundedness of a variational functional in point vortex mean field theory associated with probability measures},
author = {Takashi Suzuki and Ryo Takahashi and Xiao Zhang},
journal= {arXiv preprint arXiv:1412.4901},
year = {2014}
}