Brezis's Problems on Degenerate Constants in Degree Inequalities
Two degree inequalities for circle-valued Sobolev maps have constants that degenerate as or . Brezis posed the problem of sharpening them; both are now sharpened, by the same power trick with elementary estimates.
- Result
- Proved
- Status
- Resolved
- AI contribution
- AI-discovered
- Method
- Argument
- Field
- Calculus of variations
- Posed by
- Haim Brezis
- Year posed
- 2023
- Years open
- 3y
- Solved
- 2026-05-23
- Model
- Rethlas
- Vendor
- Frenzy Math
- Collaborators
- Xu'an Dou, Zeyu Jin
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 20 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What the AI did
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.
Verification
The raw Rethlas output is publicly linked, which is unusually good provenance. Author-verified, arXiv preprint, not peer-reviewed.