{
  "id": "1911.04721",
  "version": "v1",
  "published": "2019-11-12T07:56:08.000Z",
  "updated": "2019-11-12T07:56:08.000Z",
  "title": "Extremal functions for trace Trudinger-Moser inequalities",
  "authors": [
    "Mengjie Zhang"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we concern trace Trudinger-Moser inequalities on a compact Riemann surface with boundary. This kind of inequalities were originally obtained by Liu [19], extended by Li-Liu [16] and Yang [30, 31]. We prove the existence of extremal functions via the method of blow-up analysis. The results in the current paper generalize those of Li-Liu [16] and Yang [32].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-12T07:56:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "extremal functions",
      "concern trace trudinger-moser inequalities",
      "compact riemann surface",
      "current paper",
      "blow-up analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}