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← all fields·1 paper on “spheres” in Differential Geometry · 1 week

On the sharp constants in curl-Sobolev inequalities on

\mathbb{S}^n

math.DG

Sharp constants in curl-Sobolev inequalities on spheres determined.

problem Determining sharp constants in curl-Sobolev inequalities on spheres.

method Analyzing conformally invariant Sobolev quotients and using local stability estimates.

result Strict upper bound for the sharp constant of the

J_2

inequality.

curl-Sobolev inequalities sharp constants spheres local stability conformal invariance

2026-07-21abs ↗pdf ↗