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The fractional Hardy-Sobolev optimizer conjecture
Fractional Hardy–Sobolev optimizer conjecture. Up to constant multiples, rescaling, and, when $\alpha=0$ , translations, every Aubin–Talenti function is
Conjectureopenextremal-functions fractional-analysis hardy-sobolev-inequalitiesarXiv posted 2 days ago

The fractional Hardy-Sobolev optimizer conjecture