Full paper in PDF:
$%I. Schindler and K. Tintarev, An abstract version of the concentration compactness principle, Rev. Mat. Complut. 15 (2002), no. 2, 417–436.%$

An Abstract Version of the Concentration Compactness Principle
Ian SCHINDLER and Kyril TINTAREV
Ceremath,University of Toulouse I
ischindl@univ-tlse1.fr
Uppsala University
kyril@math.uu.se

Received: March 20, 2001
Revised: February 4, 2002

ABSTRACT

We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.

2000 Mathematics Subject Classification: 35J10, 35J20; secondary 65K10.