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· 2023 · arXiv 2023.109330

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math.AP 1

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A note on the Sobolev--Escobar bridge inequality

math.AP · 2026-04-14 · unverdicted · novelty 5.0

For T not equal to the Escobar threshold, the squared gradient norm minus Φ(T)^2 is bounded below by α_T times the squared distance to the minimizer set plus a higher-order term, for all functions in the constraint set A_T.

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  • A note on the Sobolev--Escobar bridge inequality math.AP · 2026-04-14 · unverdicted · none · ref 12

    For T not equal to the Escobar threshold, the squared gradient norm minus Φ(T)^2 is bounded below by α_T times the squared distance to the minimizer set plus a higher-order term, for all functions in the constraint set A_T.