Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609579 | Journal of Differential Equations | 2016 | 35 Pages |
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
Monica Musso, Angela Pistoia, Juncheng Wei,