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/