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Brezis's Problems on Degenerate Constants in Degree Inequalities

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brezis-degree-inequality-constantsAnalysisposed by Haim Brezisrecorded: solved

1 attempt · no person has looked

Statement

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

Context

Two problems from Brezis's own list, the third of his problems this catalog now records as settled with AI in two months.

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1 attempt

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  • #1

    Attempt 1

    proof attemptRethlas with Xu'an Dou, Zeyu Jin ·
    AI involvement
    ai discovered
    — the result was found by a model.
    models
    Rethlas
    people
    Xu'an Dou, Zeyu Jin

    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.

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