Sommaire du Fascicule no. 1

Monotonicity of solutions to quasilinear problems with a first-order term in half-spaces
p. 1-22
Nonlinear scalar field equations: Existence of a positive solution with infinitely many bumps
p. 23-40
Time fluctuations in a population model of adaptive dynamics
p. 41-58
Critical points of the Trudinger–Moser trace functional with high energy levels
p. 59-95
On the radius of analyticity of solutions to the cubic Szegő equation
p. 97-108
The evolution of H-surfaces with a Plateau boundary condition
p. 109-157
Permeability through a perforated domain for the incompressible 2D Euler equations
p. 159-182
A new method for large time behavior of degenerate viscous Hamilton–Jacobi equations with convex Hamiltonians
p. 183-200
Compactness and bubble analysis for 1/2-harmonic maps
p. 201-224
On the weak solutions to the equations of a compressible heat conducting gas
p. 225-243

Sommaire du Fascicule no. 2

Weak observability estimates for 1-D wave equations with rough coefficients
p. 245-277
Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model
p. 279-305
Perturbations of quadratic Hamiltonian two-saddle cycles
p. 307-324
The ground state energy of the two dimensional Ginzburg–Landau functional with variable magnetic field
p. 325-345
Bilinear Strichartz estimates for the Zakharov–Kuznetsov equation and applications
p. 347-371
Polynomial propagation of moments and global existence for a Vlasov–Poisson system with a point charge
p. 373-400
Anisotropic Einstein data with isotropic non negative prescribed scalar curvature
p. 401-428
Smoothing effect of the homogeneous Boltzmann equation with measure valued initial datum
p. 429-442
The Cauchy problem for the modified two-component Camassa–Holm system in critical Besov space
p. 443-469
Corrigendum to “An isoperimetric inequality for a nonlinear eigenvalue problem” [Ann. I. H. Poincaré – AN 29 (1) (2012) 21–34]
p. 485-457

Sommaire du Fascicule no. 3

BV functions and sets of finite perimeter in sub-Riemannian manifolds
p. 489-517
Non-uniqueness of weak solutions to the wave map problem
p. 519-532
Stable regular critical points of the Mumford–Shah functional are local minimizers
p. 533-570
Periodic approximations of the ergodic constants in the stochastic homogenization of nonlinear second-order (degenerate) equations
p. 571-591
Uniqueness of the minimizer for a random non-local functional with double-well potential in d ≤ 2
p. 593-622
The generalized principal eigenvalue for Hamilton–Jacobi–Bellman equations of ergodic type
p. 623-650
Asymptotic analysis of solutions to a gauged O(3) sigma model
p. 651-685
Global solutions for the critical Burgers equation in the Besov spaces and the large time behavior
p. 687-713

Sommaire du Fascicule no. 4

Optimal regularity for phase transition problems with convection
p. 715-740
Regularity for degenerate two-phase free boundary problems
p. 741-762
Combination and mean width rearrangements of solutions to elliptic equations in convex sets
p. 763-783
Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian
p. 785-812
On some large global solutions to 3-D density-dependent Navier–Stokes system with slow variable: Well-prepared data
p. 813-832
A generalization of Marstrand's theorem for projections of cartesian products
p. 833-840
Critical travelling waves for general heterogeneous one-dimensional reaction–diffusion equations
p. 841-873
A critical fractional equation with concave–convex power nonlinearities
p. 875-900
Minimization of a fractional perimeter-Dirichlet integral functional
p. 901-924

Sommaire du Fascicule no. 5

Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
p. 925-963
Phases of unimodular complex valued maps: optimal estimates, the factorization method, and the sum-intersection property of Sobolev spaces
p. 965-1013
On Clark's theorem and its applications to partially sublinear problems
p. 1015-1037
Derivation of a homogenized von-Kármán shell theory from 3D elasticity
p. 1039-1070
The Korteweg–de Vries equation at H -1 regularity
p. 1071-1098
The two-species Vlasov–Maxwell–Landau system in ℝ 3
p. 1099-1123
Uniaxial symmetry in nematic liquid crystals
p. 1125-1144

Sommaire du Fascicule no. 6

Infinitely many new curves of the Fučík spectrum
p. 1145-1171
Isospectral periodic Torii in dimension 2
p. 1173-1188
Centro-affine normal flows on curves: Harnack estimates and ancient solutions
p. 1189-1197
Large solutions to elliptic equations involving fractional Laplacian
p. 1199-1228
On compactness estimates for hyperbolic systems of conservation laws
p. 1229-1257
Asymptotic bifurcation and second order elliptic equations on ℝ N
p. 1259-1281
On minimizers of interaction functionals with competing attractive and repulsive potentials
p. 1283-1305
Entropy conditions for scalar conservation laws with discontinuous flux revisited
p. 1307-1335
A rigorous derivation of the defocusing cubic nonlinear Schrödinger equation on 𝕋 3 from the dynamics of many-body quantum systems
p. 1337-1365
Existence and uniqueness of optimal transport maps
p. 1367-1377