Pith Number

pith:IPSYJJ6N

pith:2026:IPSYJJ6NPZ7U4LK6B3BWZBPPAN

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On Kirchhoff-type p(.)-Laplacian problems with sandwich-type and arbitrary growth

Ky Ho

Kirchhoff-type p(·)-Laplacian problems with arbitrary and sandwich growth admit positive bounded weak solutions.

arxiv:2604.09929 v2 · 2026-04-10 · math.AP

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\pithnumber{IPSYJJ6NPZ7U4LK6B3BWZBPPAN}

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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 establish the existence of a positive bounded weak solution for a class of Kirchhoff-type p(·)-Laplacian problems involving an arbitrary growth and a sandwich-type growth s(·)∈(inf p, sup p).

C2weakest assumption

Suitable assumptions on the data (growth conditions, Kirchhoff function, and variable exponents) that are not specified in the abstract but are required for the truncation and a priori estimate arguments to close.

C3one line summary

Existence of positive bounded weak solutions is shown for Kirchhoff-type variable-exponent Laplacian problems with arbitrary and sandwich-type growth conditions.

Receipt and verification

First computed	2026-06-03T01:05:12.797425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43e584a7cd7e7f4e2d5e0ec36c85ef03504d17dcc57f7be9aa9d442c45b27c2c

Aliases

arxiv: 2604.09929 · arxiv_version: 2604.09929v2 · doi: 10.48550/arxiv.2604.09929 · pith_short_12: IPSYJJ6NPZ7U · pith_short_16: IPSYJJ6NPZ7U4LK6 · pith_short_8: IPSYJJ6N

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IPSYJJ6NPZ7U4LK6B3BWZBPPAN \
  | 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: 43e584a7cd7e7f4e2d5e0ec36c85ef03504d17dcc57f7be9aa9d442c45b27c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04215f71eb09421c11c02d29c4404fc8e50cbe01ddf6d4711b1d37273bd4a5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-04-10T22:06:33Z",
    "title_canon_sha256": "f6dff452fb947307a833981c8e1985cd40fd8437afb27e3e7bbfd3ca98426fe8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.09929",
    "kind": "arxiv",
    "version": 2
  }
}