{
  "annotation_id": "c5a5371b-d43c-4e9f-b311-2e6fac26c130",
  "date_created": "2026-02-17T05:53:04Z",
  "date_modified": "2026-02-17T05:53:04Z",
  "file_hash": "23f666e6c0f72f1f05ef19dff61bb92e2e4808f0617b8a492457bb8db6d510a8",
  "private": false,
  "record": {
    "abstract": "For any $n \\geq 3$ and any closed manifold $\\mathcal{N}$ with $\\pi_{n+k}(\\mathcal{N}) \\neq \\{0\\}$ for some $k \\geq 0$, we establish the existence of nontrivial $n$-harmonic maps from $\\mathbb{S}^n$ into $\\mathcal{N}$. When $k\\geq 1$, these maps naturally appear as bubbling limits of $p$-harmonic maps with $p \u003e n$, obtained by min-max constructions in the limit $p \\to n^+$.",
    "arxiv_id": "2601.05700",
    "authors": [
      "Dorian Martino",
      "Katarzyna Mazowiecka",
      "Armin Schikorra"
    ],
    "categories": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Existence of nontrival $n$-harmonic maps via min-max methods",
    "url": "https://arxiv.org/abs/2601.05700",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "034cb1b6-3ed6-4acd-a180-0fa3eff2c5ce",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}