{
  "abstract": "We study the Dirichlet problems with unbounded boundary data. Our main theorem proves interior continuity from a local biholomorphic deformation satisfying a one-sided compatibility condition near the infinite locus and barriers on the associated boundary cluster set. The deformed domains need not be nested, and the proof uses neither a Runge hypothesis nor a pseudoconvex ambient neighbourhood. We also prove nonmonotone Perron--Bremermann convergence outside an intrinsic neighbourhood pluripolar hull, a disk-fibre hull representation, stability under simultaneous nonmonotone variations of the domain and obstacle, and uniqueness in a fixed obstacle class.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.00914",
  "author_total": 2,
  "authors": [
    {
      "name": "Huy Hoang Dao"
    },
    {
      "name": "Quang Dieu Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4f9hcfe9jk72r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.00914",
  "fulltext_url": null,
  "id": "4f9hcfe9jk72r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.00914",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7215873676",
  "pdf_url": "https://arxiv.org/pdf/2610.00914",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4f9hcfe9jk72r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.00914",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.00914"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Complex Dirichlet problem with unbounded boundary values",
  "title_text": "Complex Dirichlet problem with unbounded boundary values",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/4f9hcfe9jk72r",
  "venue": "arXiv",
  "versions": []
}