Sommaire du Fascicule no. 1

A drift homogenization problem revisited
Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras
The regularity of Special Legendrian Integral Cycles
Two solutions for a singular elliptic equation by variational methods
Stability of the Calabi flow near an extremal metric
Quantitative isoperimetric inequalities and homeomorphisms with finite distortion
Ordinary holomorphic webs of codimension one

Sommaire du Fascicule no. 2

On the definition and properties of p-harmonious functions
Varieties with q(X)=dim(X) and P 2 (X)=2
Metric currents, differentiable structures, and Carnot groups
Elliptic operators with unbounded diffusion coefficients in L p spaces
Two-sided weighted Fourier inequalities
Uniqueness of a quasivariational sweeping process on functions of bounded variation
Twisted Alexander polynomials for irreducible SL(2,ℂ)-representations of torus knots
Ambient metrics with exceptional holonomy
Non-divergence form parabolic equations associated with non-commuting vector fields: boundary behavior of nonnegative solutions

Sommaire du Fascicule no. 3

Abstract framework for John-Nirenberg inequalities and applications to Hardy spaces
Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations
Nonuniformly hyperbolic cocycles: admissibility and robustness
On fundamental groups related to degeneratable surfaces: conjectures and examples
Closed surfaces with bounds on their Willmore energy
The optimal constant in the L 2 Folland-Stein inequality on the quaternionic Heisenberg group
CMC hypersurfaces condensing to geodesic segments and rays in Riemannian manifolds
Well-posedness and global existence for the Novikov equation

Sommaire du Fascicule no. 4

Resonant nonlinear Neumann problems with indefinite weight
Global hypoellipticity and compactness of resolvent for Fokker-Planck operator
Limiting absorption principles for the Navier equation in elasticity
Hölder estimates for advection fractional-diffusion equations
A note on quasilinear parabolic equations on manifolds
A mass for asymptotically complex hyperbolic manifolds
Convergence in capacity on compact Kähler manifolds
On the connectivity of the realization spaces of line arrangements
Lipschitz surfaces, perimeter and trace theorems for BV functions in Carnot-Carathéodory spaces
On surfaces of general type with q=5