Issue no. 1 Table of Contents

Global boundary controllability of the de St. Venant equations between steady states
Boundary layer formation in the transition from the porous media equation to a Hele-Shaw flow
A Riemann-Hilbert problem and the Bernoulli boundary condition in the variational theory of Stokes waves
Multi-bump ground states of the Gierer-Meinhardt system in ℝ 2
Linear instability implies nonlinear instability for various types of viscous boundary layers
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
Upper critical field and location of surface nucleation of superconductivity

Issue no. 2 Table of Contents

Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary
Regular self-similar solutions of the nonlinear heat equation with initial data above the singular steady state
Almost continuous solutions of geometric Hamilton-Jacobi equations
Critical groups computations on a class of Sobolev Banach spaces via Morse index
Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions
Minimal rearrangements of Sobolev functions : a new proof
Multiplicity of solutions for quasilinear elliptic problems involving critical Sobolev exponents

Issue no. 3 Table of Contents

Relaxation of convex functionals : the gap problem
Non-compact lamination convex hulls
Uniqueness of the polar factorisation and projection of a vector-valued mapping
On asymptotic stability of solitary waves for nonlinear Schrödinger equations
The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity
Semi-classical Schrödinger equations with harmonic potential and nonlinear perturbation

Issue no. 4 Table of Contents

A Morse lemma at infinity for Yamabe type problems on domains
Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices
On two-dimensional hamiltonian transport equations with 𝕃 loc p coefficients
Well-posedness for non-isotropic degenerate parabolic-hyperbolic equations
Gravity solitary waves with polynomial decay to exponentially small ripples at infinity
Vortex pinning with bounded fields for the Ginzburg-Landau equation

Issue no. 5 Table of Contents

On the convergence of numerical schemes for the Boltzmann equation
Multiple positive solutions for singularly perturbed elliptic problems in exterior domains
Chute stationnaire d'un solide dans un fluide visqueux incompressible le long d'un plan incliné
Homoclinic bifurcations and uniform hyperbolicity for three-dimensional flows
On critical exponents for the Pucci's extremal operators
Nonhyperbolic persistent attractors near the Morse-Smale boundary
Milton's conjecture on the regularity of solutions to isotropic equations

Issue no. 6 Table of Contents

Existence of lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case
Existence of solutions for the two-dimensional stationary Euler system for ideal fluids with arbitrary force
Asymptotic behavior of ground states of quasilinear elliptic problems with two vanishing parameters, part II
Weak solutions for a hyperbolic system with unilateral constraint and mass loss
Permanence under strong aggressions is possible
Neumann and second boundary value problems for hessian and Gauß curvature flows
On the optimality of velocity averaging lemmas