Sommaire du Fascicule no. 1

On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
p. 1-41
Qualitative properties of a continuum theory for thin films
p. 43-75
Energies of S 2 -valued harmonic maps on polyhedra with tangent boundary conditions
p. 77-103
Monotonicity properties for ground states of the scalar field equation
p. 105-119
Semi-strong convergence of sequences satisfying a variational inequality
p. 121-133
Relaxation theorems in nonlinear elasticity
p. 135-148
Solitary waves for some nonlinear Schrödinger systems
p. 149-161
An explicit solution to a system of implicit differential equations
p. 163-171
Finite Morse index solutions of exponential problems
p. 173-179
Solutions of an elliptic system with a nearly critical exponent
p. 181-200
Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity
p. 201-213

Sommaire du Fascicule no. 2

Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
p. 215-218
Local exact lagrangian controllability of the Burgers viscous equation
p. 219-230
Asymptotic solutions for large time of Hamilton-Jacobi equations in euclidean n space
p. 231-266
An asymmetric Neumann problem with weights
p. 267-280
The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues
p. 281-302
Global existence of small classical solutions to nonlinear Schrödinger equations
p. 303-311
Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation
p. 313-338
Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates
p. 339-355
A Liouville-type theorem for the p-laplacian with potential term
p. 357-368
Regularity results for degenerate elliptic systems
p. 369-380
Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure
p. 381-424

Sommaire du Fascicule no. 3

Analysis of boundary bubbling solutions for an anisotropic Emden-Fowler equation
p. 425-447
Existence and asymptotic behaviour of standing waves for quasilinear Schrödinger-Poisson systems in ℝ 3
p. 449-470
Partial continuity for elliptic problems
p. 471-503
Existence, non-existence and regularity of radial ground states for p-laplacian equations with singular weights
p. 505-537
Morse index properties of colliding solutions to the N-body problem
p. 539-565
Second-order elliptic integro-differential equations : viscosity solutions' theory revisited
p. 567-585
High dimension diffeomorphisms exhibiting infinitely many strange attractors
p. 587-607
Transition layer for the heterogeneous Allen-Cahn equation
p. 609-631

Sommaire du Fascicule no. 4

A variational treatment for general elliptic equations of the flame propagation type : regularity of the free boundary
p. 633-658
C 1 -regularity of the Aronsson equation in R 2
p. 659-678
Strong solutions for a compressible fluid model of Korteweg type
p. 679-696
On the Dirac delta as initial condition for nonlinear Schrödinger equations
p. 697-711
The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity
p. 713-724
An existence result for a free boundary shallow water model using a lagrangian scheme
p. 725-741
Compensated convexity and its applications
p. 743-771
Semiconcavity results for optimal control problems admitting no singular minimizing controls
p. 773-802
A characterization of convex calibrable sets in R N with respect to anisotropic norms
p. 803-832
Erratum to : “The Schrödinger-Maxwell system with Dirac mass”
p. 833-836

Sommaire du Fascicule no. 5

Nonlinear Schrödinger equation with a point defect
p. 837-845
The Paneitz equation in hyperbolic space
p. 847-864
Nonlinear diffusion from a delocalized source : affine self-similarity, time reversal, & nonradial focusing geometries
p. 865-888
Hardy inequalities with non-standard remainder terms
p. 889-906
On questions of decay and existence for the viscous Camassa-Holm equations
p. 907-936
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells I
p. 937-968
Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations
p. 969-985
Energy concentration for the Landau-Lifshitz equation
p. 987-1013
Singular limits for the bi-laplacian operator with exponential nonlinearity in R 4
p. 1015-1041

Sommaire du Fascicule no. 6

Localized minimizers of flat rotating gravitational systems
p. 1043-1071
Suboptimal boundary controls for elliptic equation in critically perforated domain
p. 1073-1101
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
p. 1103-1110
A general class of phase transition models with weighted interface energy
p. 1111-1143
Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane
p. 1145-1185
Well-posedness results for a model of damage in thermoviscoelastic materials
p. 1187-1208
Structurally stable perturbations of polynomials in the Riemann sphere
p. 1209-1220
High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system
p. 1221-1251