English

A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up

Analysis of PDEs 2014-08-01 v1

Abstract

In this paper we consider the so-called Toda System in planar domains under Dirichlet boundary condition. We show the existence of continua of solutions for which one component is blowing up at a certain number of points. The proofs use singular perturbation methods.

Keywords

Cite

@article{arxiv.1407.8407,
  title  = {A continuum of solutions for the SU(3) Toda System exhibiting partial blow-up},
  author = {Teresa D'Aprile and Angela Pistoia and David Ruiz},
  journal= {arXiv preprint arXiv:1407.8407},
  year   = {2014}
}