Pith Number

pith:7BKSKSEI

pith:2025:7BKSKSEIUFYRPX6AGNK5Q7PBB7

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Existence, uniqueness and characterisation of vector-valued absolute minimisers for a second order $L^\infty$-variational problem

Nikos Katzourakis, Roger Moser, Simone Carano

Existence, uniqueness and PDE characterisation hold for vector-valued absolute minimisers of a second-order L^∞ variational problem with a general linear elliptic operator.

arxiv:2504.04181 v3 · 2025-04-05 · math.AP

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\pithnumber{7BKSKSEIUFYRPX6AGNK5Q7PBB7}

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Record completeness

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We prove existence and uniqueness of the minimiser u_∞ under prescribed Dirichlet boundary conditions, together with a characterisation of u_∞ as solution of a specific system of PDEs.

C2weakest assumption

The supremal functional is defined through a linear elliptic operator in divergence form acting on the vector function u (abstract, paragraph 2).

C3one line summary

Proves existence, uniqueness and PDE characterization of vector-valued absolute minimisers for a second-order L^∞ variational problem with general elliptic operators, extending a 2019 scalar result.

Cited by

2 papers in Pith

Energy maximum principle for vectorial higher order absolute minimisers

An $L^\infty$-variational problem involving the Fractional Laplacian

Receipt and verification

First computed	2026-06-02T03:05:03.452245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f855254888a17117dfc03355d87de10fd1c8c0eb8a648160e14dd1230ee6752e

Aliases

arxiv: 2504.04181 · arxiv_version: 2504.04181v3 · doi: 10.48550/arxiv.2504.04181 · pith_short_12: 7BKSKSEIUFYR · pith_short_16: 7BKSKSEIUFYRPX6A · pith_short_8: 7BKSKSEI

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7BKSKSEIUFYRPX6AGNK5Q7PBB7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f855254888a17117dfc03355d87de10fd1c8c0eb8a648160e14dd1230ee6752e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2896be137466030f099ce374e5696ea7136bfa8dc8d9f187d85463e8cb7f10fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-05T14:02:53Z",
    "title_canon_sha256": "8dc2d9572679247218f063081030f468ed710a141d0c128cde1e251eea6153b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.04181",
    "kind": "arxiv",
    "version": 3
  }
}