Sommaire du Fascicule no. 1

Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces
Nonlinear scalar field equations: Existence of a positive solution with infinitely many bumps
Time fluctuations in a population model of adaptive dynamics
Critical points of the Trudinger–Moser trace functional with high energy levels
On the radius of analyticity of solutions to the cubic Szegő equation
The evolution of H-surfaces with a Plateau boundary condition
Permeability through a perforated domain for the incompressible 2D Euler equations
A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians
Compactness and bubble analysis for 1/2-harmonic maps
On the weak solutions to the equations of a compressible heat conducting gas

Sommaire du Fascicule no. 2

Weak observability estimates for 1-D wave equations with rough coefficients
Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
Perturbations of quadratic Hamiltonian two-saddle cycles
The ground state energy of the two dimensional Ginzburg–Landau functional with variable magnetic field
Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications
Polynomial propagation of moments and global existence for a Vlasov–Poisson system with a point charge
Anisotropic Einstein data with isotropic non negative prescribed scalar curvature
Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum
The Cauchy problem for the modified two-component Camassa–Holm system in critical Besov space
Corrigendum to “An isoperimetric inequality for a nonlinear eigenvalue problem” [Ann. I. H. Poincaré – AN 29 (1) (2012) 21–34]

Sommaire du Fascicule no. 3

BV functions and sets of finite perimeter in sub-Riemannian manifolds
Non-uniqueness of weak solutions to the wave map problem
Stable regular critical points of the Mumford–Shah functional are local minimizers
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
Uniqueness of the minimizer for a random non-local functional with double-well potential in d ≤ 2
The generalized principal eigenvalue for Hamilton–Jacobi–Bellman equations of ergodic type
Asymptotic analysis of solutions to a gauged O(3) sigma model
Global solutions for the critical Burgers equation in the Besov spaces and the large time behavior

Sommaire du Fascicule no. 4

Optimal regularity for phase transition problems with convection
Regularity for degenerate two-phase free boundary problems
Combination and mean width rearrangements of solutions to elliptic equations in convex sets
Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian
On some large global solutions to 3-D density-dependent Navier–Stokes system with slow variable: Well-prepared data
A generalization of Marstrand's theorem for projections of cartesian products
Critical travelling waves for general heterogeneous one-dimensional reaction–diffusion equations
A critical fractional equation with concave–convex power nonlinearities
Minimization of a fractional perimeter-Dirichlet integral functional

Sommaire du Fascicule no. 5

Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
Phases of unimodular complex valued maps: optimal estimates, the factorization method, and the sum-intersection property of Sobolev spaces
On Clark's theorem and its applications to partially sublinear problems
Derivation of a homogenized von-Kármán shell theory from 3D elasticity
The Korteweg–de Vries equation at H -1 regularity
The two-species Vlasov–Maxwell–Landau system in ℝ 3
Uniaxial symmetry in nematic liquid crystals

Sommaire du Fascicule no. 6

Infinitely many new curves of the Fučík spectrum
Isospectral periodic Torii in dimension 2
Centro-affine normal flows on curves: Harnack estimates and ancient solutions
Large solutions to elliptic equations involving fractional Laplacian
On compactness estimates for hyperbolic systems of conservation laws
Asymptotic bifurcation and second order elliptic equations on ℝ N
On minimizers of interaction functionals with competing attractive and repulsive potentials
Entropy conditions for scalar conservation laws with discontinuous flux revisited
A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on 𝕋 3 from the dynamics of many-body quantum systems
Existence and uniqueness of optimal transport maps