{
  "id": "2311.17125",
  "version": "v1",
  "published": "2023-11-28T14:48:14.000Z",
  "updated": "2023-11-28T14:48:14.000Z",
  "title": "Existence solutions for a weighted equation of p-biharmonic type in the unit ball of $\\mathbb{R}^{N}$ with critical exponential growth",
  "authors": [
    "Rached Jaidane"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:2201.10433, arXiv:2201.09858. substantial text overlap with arXiv:2311.16786",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study a weighted $\\frac{N}{2}$ biharmonic equation involving a positive continuous potential in $\\overline{B}$. The non-linearity is assumed to have critical exponential growth in view of logarithmic weighted Adams' type inequalities in the unit ball of $\\mathbb{R}^{N}$. It is proved that there is a nontrivial weak solution to this problem by the mountain Pass Theorem. We avoid the loss of compactness by proving a concentration compactness result and by a suitable asymptotic condition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-28T14:48:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical exponential growth",
      "unit ball",
      "p-biharmonic type",
      "existence solutions",
      "weighted equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}