Chief Editor (with R.D. James), Archive for Rational Mechanics and Analysis.

Member of Editorial Boards of:  Annali di Matematica Pura ed Applicata;  Applicable Analysis; Calculus of Variations and Partial Differential Equations; Control, Optimisation and Calculus of Variations; Dynamics and Differential Equations;  Journal of Differential Equations;  Mathematical Methods and Models in Applied Science; Mathematical Modelling and Numerical Analysis; Tbilisi Mathematical Journal; Journal de l'École polytechnique.

Editor, Oxford Mathematical Monographs; Oxford Lecture Series in Mathematics and its Applications (Oxford University Press).

Editorial Board, Unione Matematica Italiana Lecture Notes Series.