Article ID Journal Published Year Pages File Type
4610265 Journal of Differential Equations 2013 29 Pages PDF
Abstract

We consider the stationary radial solution in the classical Gierer–Meinhardt system in R3R3:{ϵ2Δu−u+u2v=0in R3,Δv−v+u2=0in R3,u,v>0,u(x),v(x)→0as |x|→+∞. We prove the existence of a large ring-like solution. This complements an earlier work of Ni and Wei (2006) [30] in which the existence of O(1)O(1) ring solutions was proved in R2R2.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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