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Brezis's Problems on Degenerate Constants in Degree Inequalities

Analysis · posed by Haim Brezis · solved

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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.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    Rethlas, with Xu'an Dou and Zeyu Jin

    The record says a model found this and names the people who worked on it. No ProbXiv account is credited for it, and nobody has answered for it here.

    AI involvement
    ai discovered
    — the result was found by a model.

    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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