Contents
Preface vii
On Hai'm Brezis
ix
Speech of Ha'im Brezis xvii
Speech of Michal Govrin
xxi
Vortex patterns in Bose Einstein condensates
AMANDINE AFTALION 1
Concentration phenomena for Nonlinear Schrodinger Equations: recent results
and new perspectives
ANTONIO AMBROSETTI and ANDREA MALCHIODI 19
On the chain rule for the divergence of BV-like vector fields: applications,
partial results, open problems
LUIGI AMBROSIO, CAMILLO DELELLIS, and JAN MALY 31
Compactness
ABBAS BAHRI 69
Generalized travelling waves for reaction-diffusion equations
HENRI BERESTYCKI and FRAN_;:OIS HAMEL 101
Some questions related to the lifting problem in Sobolev spaces
FABRICE BETHUEL and DAVID CHIRON 125
Normal forms and the nonlinear Schrodinger equation
J. BOURGAIN 153
Extremal solutions and instantaneous complete blow-up for elliptic and
parabolic problems
XAVIER CABRE 159
Capillary drops on an inhomogeneous surface
L.A. CAFFARELLI and A. MELLET 175
Diffusive Lagrangian transformations, Navier-Stokes equations and applications
PETER CONSTANTIN 203
Some open problems on the control of nonlinear partial differential equations
JEAN-MICHEL CORON 215
The 1-Laplacian, the oo-Laplacian and differential games
LAURENCE C. EVANS 245
v
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