We study the noncompact solution sequences to the mean field equation for arbitrarily signed vortices and observe the quantization of the mass of concentration, using the rescaling argument.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-11,
author = {Hiroshi Ohtsuka and Takashi Suzuki},
title = {A blowup analysis of the mean field equation for arbitrarily signed vortices},
journal = {Banach Center Publications},
volume = {72},
year = {2006},
pages = {185-197},
zbl = {1117.35066},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-11}
}
Hiroshi Ohtsuka; Takashi Suzuki. A blowup analysis of the mean field equation for arbitrarily signed vortices. Banach Center Publications, Tome 72 (2006) pp. 185-197. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc74-0-11/