Pith. sign in

REVIEW 1 cited by

Weak Harnack estimates for a doubly nonlinear nonlocal p-Laplace equation

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2502.19925 v1 pith:ANC5AOIA submitted 2025-02-27 math.AP

Bin Shang , Chao Zhang This is my paper · ORCID
classification math.AP
keywords weaknonlocalequationestimatesharnackdoublynonlinearpositivity
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We establish a new type of weak Harnack estimates with optimal parabolic tail for the weak supersolutions to a doubly nonlinear nonlocal $p$-Laplace equation, which is modeled on the nonlocal Trudinger equation. Our results are achieved by employing the expansion of positivity and measure theoretical techniques. In particular, the weak Harnack estimates highlight the nonlocal feature, as we only require the local positivity of weak supersolutions instead of the global one.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. H\"older regularity of weak solutions to nonlocal doubly degenerate parabolic equations

    math.AP 2025-09 conditional novelty 6.0 of 10

    Any locally bounded weak solution to ∂t(|u|^{q-1}u) + P.V. ∫ |u(x)-u(y)|^{p-2}(u(x)-u(y)) / |x-y|^{n+sp} dy = 0, with 0<s<1, p>2, 0<q<p-1, is locally Hölder continuous under a parabolic tail condition.

Pith tools