Brezis's Problems on Degenerate Constants in Degree Inequalities

Precise statement

Two degree inequalities for circle-valued Sobolev maps have constants that degenerate as $p \to 1^+$ or $\delta \to 0^+$. Brezis posed the problem of sharpening them; both are now sharpened, by the same power trick with elementary estimates.

The source statement is reproduced for indexing with attribution. Mathematical correctness requires domain-expert or mechanical review. VibeMath has not independently audited statement fidelity, correctness, priority, or novelty.

What AI did

Rethlas

The abstract says the proofs were obtained by generative AI and verified by the authors, and the body names Rethlas as producing the proofs of Theorems 1.3 and 1.4. The raw system output is published alongside, so the provenance is inspectable rather than asserted.

Provider: Frenzy Math · Prompt public: unknown · Independence: unknown

Verification boundary

unreviewed

The raw Rethlas output is publicly linked, which is unusually good provenance. Author-verified, arXiv preprint, not peer-reviewed.

Correctness: unknown · statement fidelity: unaudited · peer review: none

Timeline

1. 2026-05-23

   arXiv:2605.24626 - Degenerate constants in degree inequalities for Sobolev circle maps: on some problems posed by Brezis

   VibeMathed reports this item as resolved. VibeMath preserves that report as a source assertion and has not independently authored a plain-language mathematical explanation.

Known method families

argument (source-reported)

Source-reported tools: argument.

Independent: unknown · difference confidence: 0

What remains uncertain

VibeMath has not independently audited the mathematical statement, proof, or novelty claim.

• VibeMath has not independently verified the mathematical claim.
• AI-attempt independence and training-data exposure are unknown unless explicitly documented.
• VibeMath has not independently audited the mathematical statement, proof, or novelty claim.