Includes bibliographical references.

Vortex patterns in Bose Einstein condensates ; Concentration phenomena for nonlinear Schrodinger equations: recent results and new perspectives ; On the chain rule for the divergence of BVlike vector fields: applications, partial results, open problems ; Compactness ; Generalized travelling waves for reactiondiffusion equations ; Some questions related to the lifting problem in Sobolev spaces ; Normal forms and the nonlinear Schrodinger equation ; Extremal solutions and instantaneous complete blowup for elliptic and parabolic problems ; Capillary drops on an inhomogeneous surface ; Diffusive Lagrangian transformations, NavierStokes equations and applications ; Some open problems on the control of nonlinear partial differential equations ; The 1Laplacian, the infty aplacian and differential games ; Probabilistic approach to a class of semilinear partial differential equations ; Variational methods in image processing ; Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity ; Some Liouville theorems and applications ; Analysis on Faddeev knots and Skyrme solitons: recent progress and open problems ; The precise boundary trace of positive solutions of the equation Delta u=u^q in the supercritical case ; Blowup in nonlinear heat equations with supercritical power nonlinearity ; Sobolev maps on manifolds: degree, approximation, lifting ; Partial and full symmetry of solutions of quasilinear elliptic equations, via the comparison principle ; Single and multitransition solutions of a family of PDEs ; Some methods and issues in the dynamics of vortices in the parabolic GinzburgLandau equations ; Publications of Haim Brezis Amandine Aftalion ; Antonio Ambrosetti and Andrea Malchiodi ; Luigi Ambrosio Camillo De Lellis and Jan Maly ; A Bahri ; Henri Berestycki and Francois Hamel ; Fabrice Bethuel and David Chiron ; J Bourgain ; Xavier Cabre ; L A Caffarelli and A Mellet ; Peter Constantin ; JeanMichel Coron ; Lawrence C Evans ; JeanFrancois Le Gall ; Ali Haddad and Yves Meyer ; Sergiu Klainerman ; YanYan Li ; Fanghua Lin and Yisong Yang ; Moshe Marcus and Laurent Veron ; Hiroshi Matano ; Petru Mironescu ; Patrizia Pucci Berardino Sciunzi and James Serrin ; Paul H Rabinowitz ; Sylvia Serfaty ; Henri Berestycki Michiel Bertsch Felix E Browder Louis Nirenberg Lambertus A Peletier and Laurent Veron