{
  "abstract": "In this paper, we establish existence and pointwise Wolff potential bounds for nonnegative solutions of $-Δ_{\\mathbb{G},p}u=H_l(αu^β)+μ$ on Carnot groups, where $H_l(t)=e^t-\\sum_{j=0}^{l-1}t^j/j!$ and $μ$ is a nonnegative Radon measure. Under suitable conditions on the reaction parameters, we treat arbitrary open sets in the subcritical range $1<p<Q$ under a maximal potential condition, and bounded domains in the critical case $p=Q$ under a small total mass condition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19704",
  "author_total": 2,
  "authors": [
    {
      "name": "Shiguang Ma"
    },
    {
      "name": "Zijian Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d69dsdacwwfjr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19704",
  "fulltext_url": null,
  "id": "d69dsdacwwfjr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19704",
  "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": "W7213675711",
  "pdf_url": "https://arxiv.org/pdf/2609.19704",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d69dsdacwwfjr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2609.19704",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19704"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups",
  "title_text": "Quasilinear Equations with Exponential Reactions and Measure Data on Carnot Groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/d69dsdacwwfjr",
  "venue": "arXiv",
  "versions": []
}