{
  "id": "1312.3575",
  "version": "v1",
  "published": "2013-12-12T18:12:04.000Z",
  "updated": "2013-12-12T18:12:04.000Z",
  "title": "A new rearrangement inequality and its application for L^2-constraint minimizing problems",
  "authors": [
    "Masataka Shibata"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study $L^2$-constraint minimizing problems related to elliptic systems. We introduce a new rearrangement to show $H^1$-precompactness of any minimizing sequences. Some strict inequality for the new rearrangement is obtained. It is a key to exclude the dichotomy of minimizing sequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-12T18:12:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "35J20"
    ],
    "keywords": [
      "rearrangement inequality",
      "application",
      "minimizing sequences",
      "elliptic systems",
      "strict inequality"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.3575S"
    }
  }
}