An abstract version of the concentration compactness principle

Ian Schindler (1) , Cyril Tintarev (2)

1 MIP - Mathématiques pour l'Industrie et la Physique
2 Department of Mathematics [Uppsala]

In this paper the authors prove an abstract version of the well-known concentration compactness principle in Hilbert space. As an application they consider a class of elliptic problems on unbounded domains.

Domaines: Equations aux dérivées partielles [math.AP]

Ian Schindler, Cyril Tintarev. An abstract version of the concentration compactness principle. Rev. Mat. Complut., 2002, 15 (2), pp.417-436. ⟨hal-00982455⟩