{
  "abstract": "We classify isolated singularities of $p$-Laplace and $k$-Hessian Lane--Emden systems on their Serrin critical curves without radial symmetry. Our approach reconstructs a radial profile from the source measures through a truncated Wolff potential, providing a nonlinear counterpart of spherical averaging. For upper inequalities at equal powers, we determine the sharp joint logarithmic lower bound on the zero-mass singular branch. A radial pair attains this bound while both normalized components oscillate between zero and infinity. For exact systems at equal powers, we obtain a common second-order profile with a shared phase and a sharp two-term logarithmic expansion of the component difference. At unequal powers, we establish power--logarithmic asymptotics with explicit leading constants. These asymptotics hold uniformly in direction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03483",
  "author_total": 2,
  "authors": [
    {
      "name": "Shiguang Ma"
    },
    {
      "name": "Shengyang Zang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9mdxca2h5acyp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03483",
  "fulltext_url": null,
  "id": "9mdxca2h5acyp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03483",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03483",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9mdxca2h5acyp.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03483",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03483"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Sharp bounds and asymptotic profiles for Lane-Emden systems at the Serrin threshold",
  "title_text": "Sharp bounds and asymptotic profiles for Lane-Emden systems at the Serrin threshold",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:14Z",
  "url": "https://research.draconitic.com/paper/9mdxca2h5acyp",
  "venue": "arXiv",
  "versions": []
}