{
  "abstract": "Let $L$ be a linear second-order elliptic operator satisfying a nondegeneracy condition. We establish sharp $L^q$ estimates for solutions of the adjoint problem associated with $L$ and, by duality, derive sharp $L^p$ estimates for solutions of $Lu = f$. In particular, this confirms a conjecture of Carlo Pucci.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19633",
  "author_total": 2,
  "authors": [
    {
      "name": "Jui-Yun Hung"
    },
    {
      "name": "Nan Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fqhzxe8dvn2bd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19633",
  "fulltext_url": null,
  "id": "fqhzxe8dvn2bd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19633",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "openalex",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7222188958",
  "pdf_url": "https://arxiv.org/pdf/2610.19633",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fqhzxe8dvn2bd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19633",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19633"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp $L^q$ estimate of adjoint problem and Pucci conjecture",
  "title_text": "Sharp L^q estimate of adjoint problem and Pucci conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/fqhzxe8dvn2bd",
  "venue": "arXiv",
  "versions": []
}