{
  "id": "1505.03012",
  "version": "v1",
  "published": "2015-05-12T14:07:31.000Z",
  "updated": "2015-05-12T14:07:31.000Z",
  "title": "Energy concentration and a priori estimates for $B_2$ and $G_2$ types of Toda systems",
  "authors": [
    "Chang-shou Lin",
    "Lei Zhang"
  ],
  "comment": "24 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "For Toda systems with Cartan matrix either $B_2$ or $G_2$, we prove that the local mass of blowup solutions at its blowup points converges to a finite set and further more this finite set can be completely determined. As an application of the local mass classification we establish a priori estimates for corresponding Toda systems defined on Riemann surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-12T14:07:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35J47"
    ],
    "keywords": [
      "priori estimates",
      "energy concentration",
      "finite set",
      "blowup points converges",
      "local mass classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150503012L"
    }
  }
}