{
  "annotation_id": "fad3a7dd-236c-41d3-80fc-602ac151ed05",
  "date_created": "2026-02-17T05:53:20.459000Z",
  "date_modified": "2026-02-17T05:53:20.459000Z",
  "file_hash": "2b5b727d7ef4fe21ad43a8b0342851306488fd5f3650e03ec24cbef39e064f65",
  "private": false,
  "record": {
    "abstract": "We consider a critical problem in a bounded domain involving the $p$-Grushin operator $\\Delta_\\alpha^p$. After a truncation argument, we obtain infinitely many solutions to our problem via Krasnoselskii\u0027s genus, extending a previous result of Garc\\\u0027ia Azorero and Peral Alonso to the $p$-Grushin operator. A central part of our analysis is the verification of the Palais-Smale condition of the associated functional under a certain level.",
    "arxiv_id": "2601.09488",
    "authors": [
      "Paolo Malanchini",
      "Giovanni Molica Bisci",
      "Simone Secchi"
    ],
    "categories": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A note on critical problems involving the $p$-Grushin Operator: existence of infinitely many solutions",
    "url": "https://arxiv.org/abs/2601.09488",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b7e0056b-b9aa-41ab-bf01-ae47b066f3e0",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}