We consider the boundary-value problem equation presented, where Br0 is the ball of radius r0 in RN, N ≥ 2, λ > 0 and v is the outer normal derivative at ∂Br0 . This problem is equivalent to the stationary Keller-Segel system from chemotaxis. We show the existence of a solution concentrating at the boundary of the ball as λ goes to 0.

Steady states with unbounded mass of the Keller-Segel system

VAIRA, Giusi
2015

Abstract

We consider the boundary-value problem equation presented, where Br0 is the ball of radius r0 in RN, N ≥ 2, λ > 0 and v is the outer normal derivative at ∂Br0 . This problem is equivalent to the stationary Keller-Segel system from chemotaxis. We show the existence of a solution concentrating at the boundary of the ball as λ goes to 0.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11591/368447
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 12
  • ???jsp.display-item.citation.isi??? ND
social impact