Defect of compactness in spaces of bounded variation

Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

Nicola Garofalo, Duy-Minh Nhieu · Communications on Pure and Applied Mathematics · 1996 · 546 citations

Natural Sciences, Geophysics, Topology +10

Remarks on some fixed point theorems

Teck Cheong Lim · Proceedings of the American Mathematical Society · 1976 · 264 citations · Full text

Natural Sciences, Mathematics, Topology +5

Description of the lack of compactness for the Sobolev imbedding

Patrick Gérard · ESAIM Control Optimisation and Calculus of Variations · 1998 · 223 citations · Full text

Natural Sciences, German, Representation Theory +8

Analysis of the Lack of Compactness in the Critical Sobolev Embeddings

Stéphane Jaffard · Journal of Functional Analysis · 1999 · 78 citations

Natural Sciences, Mathematics, Topology +4

An abstract version of the concentration compactness principle

Ian Schindler · Revista Matemática Complutense · 2002 · 68 citations · Full text

Natural Sciences, Mathematics, Physics +10