{
  "abstract": "Uniqueness of a non-negative radially symmetric solution with non-increasing profile to the Hardy-Hénon elliptic equation with sublinear absorption Δv(x) + |x|σv(x) - v1/m(x)=0, x∈ℝN, is established in the range N≥1, m>1 and σ∈(max{-2,-N},0). Consequences of this result are the uniqueness (up to scaling) of the non-negative extremal function to a Caffarelli-Kohn-Nirenberg inequality and the uniqueness of a non-negative radially symmetric self-similar solution with nonincreasing profile to a parabolic Hardy-Hénon equation with quasilinear diffusion. The proof relies on ordinary differential equations techniques, which can be used thanks to the radially symmetric setting, and requires in particular a delicate analysis of the well-posedness and continuous dependence in view of the non-Lipschitz nonlinearity and the singularity of |x|σ at the origin.",
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  "article_type": null,
  "arxiv": "2611.06276",
  "author_total": 2,
  "authors": [
    {
      "name": "Razvan Gabriel Iagar"
    },
    {
      "name": "Philippe Laurençot"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4dmmwm0cns20e.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06276",
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  "id": "4dmmwm0cns20e",
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  "pdf_url": "https://hal.science/hal-05850287/document",
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  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4dmmwm0cns20e.ris",
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      "first_seen": "2026-11-04T12:20:52Z",
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      "native_id": "2611.06276",
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      "url": "https://arxiv.org/abs/2611.06276"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
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  "title": "Classification of radially symmetric solutions to a Hardy-Hénon equation with sublinear absorption and applications",
  "title_text": "Classification of radially symmetric solutions to a Hardy-Hénon equation with sublinear absorption and applications",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/4dmmwm0cns20e",
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