This paper contains some results concerning self-similar radial solutions for some system of chemotaxis. This kind of solutions describe asymptotic profiles of arbitrary solutions with small mass. Our approach is based on a fixed point analysis for an appropriate integral operator acting on a suitably defined convex subset of some cone in the space of bounded and continuous functions.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-19,
author = {Robert Sta\'nczy},
title = {On radially symmetric solutions of some chemotaxis system},
journal = {Banach Center Publications},
volume = {86},
year = {2009},
pages = {303-312},
zbl = {1167.35534},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-19}
}
Robert Stańczy. On radially symmetric solutions of some chemotaxis system. Banach Center Publications, Tome 86 (2009) pp. 303-312. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc86-0-19/