Stationary solutions to a Keller–Segel chemotaxis system
Year: 2006
Type: article
Abstract: We consider the following stationary Keller–Segel system from chemotaxis [Formula: see text] where Ω⊂ $\mathbb{R}$ 2 is a smooth and bounded domain. We show that given any two positive integers K,L, for p sufficiently large, there exists a solution concentrating in K interior points and L boundary points. The location of the blow-up points is related to the Green function. The solutions are obtained as critical points of some finite-dimensional reduced energy functional. No assumption on the symmetry, geometry nor topology of the domain is needed.
Source: Asymptotic Analysis
DOI: 10.3233/asy-2006-776
Authors: Monica Musso, Juncheng Wei
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W105025980