Steady states with unbounded mass of the Keller–Segel system. Issue 1 (30th January 2015)

• Record Type: Journal Article
• Authors: Pistoia, Angela; Vaira, Giusi
• Is Part Of: Proceedings. Volume 145:Issue 1(2015)
• Page Start: 203
• Page End: 222
• Publication Date: 2015-01-30
• Subjects: Mathematics -- Periodicals; 510
• DOI: 10.1017/S0308210513000619
• Languages: English
• ISSNs: 0308-2105

Abstract

Abstract : We consider the boundary-value problem where B r 0 is the ball of radius r 0 in ℝ N, N ≥ 2, λ > 0 and ν is the outer normal derivative at ∂ B r 0 . 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.