Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms. The high dimensional case - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms. The high dimensional case

Frédéric Robert
Olivier Druet
Emmanuel Hebey
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Résumé

We prove existence of extremal functions and compactness of the set of extremal functions for twisted sharp n-dimensional Sobolev inequalities with lower order remainder terms when n ≥ 5.
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Dates et versions

hal-04558328 , version 1 (24-04-2024)

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Frédéric Robert, Olivier Druet, Emmanuel Hebey. Extremal functions for twisted sharp Sobolev inequalities with lower order remainder terms. The high dimensional case. 2024. ⟨hal-04558328⟩
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