Stationary solutions to a Keller-Segel chemotaxis system

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dc.contributor.authorMusso, Monica
dc.contributor.authorWei, Juncheng
dc.date.accessioned2024-01-10T13:43:38Z
dc.date.available2024-01-10T13:43:38Z
dc.date.issued2006
dc.description.abstractWe consider the following stationary Keller-Segel system from chemotaxis
dc.description.abstractDelta u - au + u(p) = 0, u > 0 in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega,
dc.description.abstractwhere 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.
dc.format.extent31 páginas
dc.fuente.origenWOS
dc.identifier.eissn1875-8576
dc.identifier.issn0921-7134
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78708
dc.identifier.wosidWOS:000240965400004
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero3-4
dc.language.isoen
dc.nota.accesoSin adjunto
dc.pagina.final247
dc.pagina.inicio217
dc.publisherIOS PRESS
dc.revistaASYMPTOTIC ANALYSIS
dc.rightsregistro bibliográfico
dc.subject2-DIMENSIONAL ELLIPTIC PROBLEM
dc.subjectSINGULAR LIMITS
dc.subjectCONCENTRATING SOLUTIONS
dc.subjectMULTIPEAK SOLUTIONS
dc.subjectGLOBAL EXISTENCE
dc.subjectPOINT DYNAMICS
dc.subjectUP SOLUTIONS
dc.subjectBLOW-UP
dc.subjectNEUMANN
dc.subjectMODEL
dc.titleStationary solutions to a Keller-Segel chemotaxis system
dc.typeartículo
dc.volumen49
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.trazabilidadCarga SIPA;09-01-2024
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