Stationary solutions to a Keller-Segel chemotaxis system
link https://repositorio.uc.cl/handle/11534/78708account_box Musso, Monicaaccount_box Wei, Juncheng
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We consider the following stationary Keller-Segel system from chemotaxis
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| Autor | Musso, Monica Wei, Juncheng |
| Título | Stationary solutions to a Keller-Segel chemotaxis system |
| Revista | ASYMPTOTIC ANALYSIS |
| ISSN | 0921-7134 |
| ISSN electrónico | 1875-8576 |
| Volumen | 49 |
| Número de publicación | 3-4 |
| Página inicio | 217 |
| Página final | 247 |
| Fecha de publicación | 2006 |
| Resumen | We consider the following stationary Keller-Segel system from chemotaxis Delta u - au + u(p) = 0, u > 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega subset of 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. |
| Derechos | acceso restringido |
| Editorial | IOS PRESS |
| Enlace | |
| Id de publicación en WoS | WOS:000240965400004 |
| Paginación | 31 páginas |
| Palabra clave | 2-DIMENSIONAL ELLIPTIC PROBLEM SINGULAR LIMITS CONCENTRATING SOLUTIONS MULTIPEAK SOLUTIONS GLOBAL EXISTENCE POINT DYNAMICS UP SOLUTIONS BLOW-UP NEUMANN MODEL |
| Tipo de documento | artículo |