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 G.
2015-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/421117
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