{
  "id": "1310.1317",
  "version": "v1",
  "published": "2013-10-04T15:24:14.000Z",
  "updated": "2013-10-04T15:24:14.000Z",
  "title": "$p$-Laplace equations with singular weights",
  "authors": [
    "Kanishka Perera",
    "Inbo Sim"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a class of $p$-Laplacian Dirichlet problems with weights that are possibly singular on the boundary of the domain, and obtain nontrivial solutions using Morse theory. In the absence of a direct sum decomposition, we use a cohomological local splitting to get an estimate of the critical groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-04T15:24:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J75",
      "35J20",
      "35J25",
      "35J92"
    ],
    "keywords": [
      "singular weights",
      "laplace equations",
      "laplacian dirichlet problems",
      "direct sum decomposition",
      "nontrivial solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.1317P"
    }
  }
}