Compactness methods in Lieb's work

Julien Sabin (1)

1 CMLS - Centre de Mathématiques Laurent Schwartz

We review some compactness methods appearing in the work of Lieb, with an emphasis on the techniques developed around his 1983 article on the optimizers for the Hardy-Littlewood-Sobolev inequality.

Domaines: Physique mathématique [math-ph]; Equations aux dérivées partielles [math.AP]; Analyse classique [math.CA]

Julien Sabin. Compactness methods in Lieb's work. 2022. ⟨hal-03611303⟩