English

Asymmetric blow-up for the SU(3) Toda System

Analysis of PDEs 2014-11-14 v1

Abstract

We consider the so-called Toda system in a smooth planar domain under homogeneous Dirichlet boundary conditions. We prove the existence of a continuum of solutions for which both components blow-up at the same point. This blow-up behavior is asymmetric, and moreover one component includes also a certain global mass. The proof uses singular perturbation methods.

Keywords

Cite

@article{arxiv.1411.3482,
  title  = {Asymmetric blow-up for the SU(3) Toda System},
  author = {Teresa D'Aprile and Angela Pistoia and David Ruiz},
  journal= {arXiv preprint arXiv:1411.3482},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1407.8407