For all N≥3 and γ0≤γ<(N−2)^2/4, the infimum defining the Bianchi-Egnell constant C_BE(γ) for the Hardy-Sobolev inequality is achieved by some function.
Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations
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Existence of Bianchi-Egnell stability extremizer for the Hardy-Sobolev inequality
For all N≥3 and γ0≤γ<(N−2)^2/4, the infimum defining the Bianchi-Egnell constant C_BE(γ) for the Hardy-Sobolev inequality is achieved by some function.