{
  "id": "1407.7217",
  "version": "v1",
  "published": "2014-07-27T13:03:16.000Z",
  "updated": "2014-07-27T13:03:16.000Z",
  "title": "On a general SU(3) Toda System",
  "authors": [
    "Francesca Gladiali",
    "Massimo Grossi",
    "Jun-cheng Wei"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the following generalized $SU(3)$ Toda System $$ \\left\\{\\begin{array}{ll} -\\Delta u=2e^u+\\mu e^v & \\hbox{ in }\\R^2\\\\ -\\Delta v=2e^v+\\mu e^u & \\hbox{ in }\\R^2\\\\ \\int_{\\R^2}e^u<+\\infty,\\ \\int_{\\R^2}e^v<+\\infty \\end{array}\\right. $$ where $\\mu>-2$. We prove the existence of radial solutions bifurcating from the radial solution $(\\log \\frac{64}{(2+\\mu) (8+|x|^2)^2}, \\log \\frac{64}{ (2+\\mu) (8+|x|^2)^2})$ at the values $\\mu=\\mu_n=2\\frac{2-n-n^2}{2+n+n^2},\\ n\\in\\N $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-27T13:03:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "toda system",
      "general su",
      "radial solutions bifurcating"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.7217G"
    }
  }
}