Article ID Journal Published Year Pages File Type
4609579 Journal of Differential Equations 2016 35 Pages PDF
Abstract

We consider the SU(n+1)SU(n+1) Toda system(Sλ){Δu1+2λeu1−λeu2−⋯−λeuk=0inΩ,Δu2−λeu1+2λeu2−⋯−λeuk=0inΩ,⋮⋱⋮Δuk−λeu1−λeu2−⋯+2λeuk=0inΩ,u1=u2=⋯=uk=0on∂Ω. If 0∈Ω0∈Ω and Ω is symmetric with respect to the origin, we construct a family of solutions (u1λ,…,ukλ)(u1λ,…,ukλ) to (Sλ)(Sλ) such that the i  -th component uiλuiλ blows-up at the origin with a mass 2i+1π2i+1π as λ goes to zero.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, , ,