Sharp Bianchi–Egnell stability for the affine fractional L2-Sobolev inequality, with local spectral gap 2s/(n/2+s+1) and a strictly smaller optimal global constant.
Struwe, A global compactness result for elliptic boundary value problems involving limiting nonlinearities,Math
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Proves nonexistence of finite-time blow-up for D-equivariant harmonic map heat flow from B² to S² when D ≥ 3 under general smooth time-dependent boundary data.
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Sharp Stability for the Affine Fractional Sobolev Inequality
Sharp Bianchi–Egnell stability for the affine fractional L2-Sobolev inequality, with local spectral gap 2s/(n/2+s+1) and a strictly smaller optimal global constant.
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Nonexistence of finite-time blow-up for the equivariant harmonic map heat flow from $B^2$ to $S^2$
Proves nonexistence of finite-time blow-up for D-equivariant harmonic map heat flow from B² to S² when D ≥ 3 under general smooth time-dependent boundary data.