Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898810 | Journal of Differential Equations | 2018 | 37 Pages |
Abstract
In this paper we consider the minimizing sequence for some energy functional of an elliptic equation associated with the mean field limit of the point vortex distribution one-sided Borel probability measure. If such a sequence blows up, we derive some estimate which is related to the behavior of solution near the blow-up point. Moreover, we study the two-intensities case to consider the sufficient condition for this estimate. Our main results are new for the standard mean field equation as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Takashi Suzuki, Yohei Toyota,