Sommaire du Fascicule no. 1

On the optimality of the observability inequalities for parabolic and hyperbolic systems with potentials
Qualitative properties of a continuum theory for thin films
Energies of S 2 -valued harmonic maps on polyhedra with tangent boundary conditions
Monotonicity properties for ground states of the scalar field equation
Semi-strong convergence of sequences satisfying a variational inequality
Relaxation theorems in nonlinear elasticity
Solitary waves for some nonlinear Schrödinger systems
An explicit solution to a system of implicit differential equations
Finite Morse index solutions of exponential problems
Solutions of an elliptic system with a nearly critical exponent
Necessary conditions for a minimum at a radial cavitating singularity in nonlinear elasticity

Sommaire du Fascicule no. 2

Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
Local exact lagrangian controllability of the Burgers viscous equation
Asymptotic solutions for large time of Hamilton-Jacobi equations in euclidean n space
An asymmetric Neumann problem with weights
The Neumann problem for the Hénon equation, trace inequalities and Steklov eigenvalues
Global existence of small classical solutions to nonlinear Schrödinger equations
Blow-up solutions of the self-dual Chern-Simons-Higgs vortex equation
Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates
A Liouville-type theorem for the p-laplacian with potential term
Regularity results for degenerate elliptic systems
Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure

Sommaire du Fascicule no. 3

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

Sommaire du Fascicule no. 4

A variational treatment for general elliptic equations of the flame propagation type : regularity of the free boundary
C 1 -regularity of the Aronsson equation in R 2
Strong solutions for a compressible fluid model of Korteweg type
On the Dirac delta as initial condition for nonlinear Schrödinger equations
The unstable spectrum of the Navier-Stokes operator in the limit of vanishing viscosity
An existence result for a free boundary shallow water model using a lagrangian scheme
Compensated convexity and its applications
Semiconcavity results for optimal control problems admitting no singular minimizing controls
A characterization of convex calibrable sets in R N with respect to anisotropic norms
Erratum to : “The Schrödinger-Maxwell system with Dirac mass”

Sommaire du Fascicule no. 5

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

Sommaire du Fascicule no. 6

Localized minimizers of flat rotating gravitational systems
Suboptimal boundary controls for elliptic equation in critically perforated domain
Regularity of Hölder continuous solutions of the supercritical quasi-geostrophic equation
A general class of phase transition models with weighted interface energy
Non-homogeneous boundary value problems for the Korteweg-de Vries and the Korteweg-de Vries-Burgers equations in a quarter plane
Well-posedness results for a model of damage in thermoviscoelastic materials
Structurally stable perturbations of polynomials in the Riemann sphere
High-electric-field limit for the Vlasov-Maxwell-Fokker-Planck system