{
  "abstract": "We study curvature flows for the dual Orlicz--Minkowski problem for strictly convex capillary hypersurfaces in the Euclidean half-space. The prescribed function has the form $ϕ(h)G(X)$, where $X=\\nabla h+hν$ and $G$ may be nonradial and nonhomogeneous. For acute contact angles, the evenness assumption together with either of the two integral conditions yields a smooth weighted-volume-preserving flow for all $t>0$ and a smooth solution to the dual Orlicz--Minkowski equation. Without the evenness assumption, two strict spherical-cap barriers yield the same conclusions for an unnormalized flow, whose limiting hypersurfaces solve the dual Orlicz--Minkowski equation with $c=1$. A uniform strict monotonicity condition under rescaling ensures uniqueness for $c=1$ and convergence of the unnormalized flow in any $C^k$ norm at an exponential rate. The problem considered here includes the capillary $L_p$-Minkowski and $L_p$ dual Minkowski problems as special cases.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.02674",
  "author_total": 1,
  "authors": [
    {
      "name": "Ya Gao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ephsnf77sh90d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.02674",
  "fulltext_url": null,
  "id": "ephsnf77sh90d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.02674",
  "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.AP"
    ],
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.02674",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ephsnf77sh90d.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.02674",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.02674"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The dual Orlicz-Minkowski problem for capillary hypersurfaces",
  "title_text": "The dual Orlicz-Minkowski problem for capillary hypersurfaces",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/ephsnf77sh90d",
  "venue": "arXiv",
  "versions": []
}