Issue no. 1 Table of Contents

Optimal regularity for planar mappings of finite distortion
p. 1-19
Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities
p. 21-35
Concentration of solutions for some singularly perturbed mixed problems: Asymptotics of minimal energy solutions
p. 37-56
The limiting behavior of the value-function for variational problems arising in continuum mechanics
p. 57-72
Best constants in a borderline case of second-order Moser type inequalities
p. 73-93
Choquet simplices as spaces of invariant probability measures on post-critical sets
p. 95-115
Profile of bubbling solutions to a Liouville system
p. 117-143
The boundary regularity of non-linear parabolic systems II
p. 145-200
The boundary regularity of non-linear parabolic systems I
p. 201-255
Quasistatic crack growth in finite elasticity with non-interpenetration
p. 257-290
Blow up and grazing collision in viscous fluid solid interaction systems
p. 291-313
Gelfand type elliptic problems under Steklov boundary conditions
p. 315-335
A blow-up criterion for compressible viscous heat-conductive flows
p. 337-350
Solitary waves for nonlinear Klein–Gordon equations coupled with Born–Infeld theory
p. 351-376
An abstract Nash–Moser theorem with parameters and applications to PDEs
p. 377-399
Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D
p. 401-436
Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system
p. 437-446

Issue no. 2 Table of Contents

A relaxation process for bifunctionals of displacement-Young measure state variables: A model of multi-material with micro-structured strong interface
p. 447-469
Regularity of solutions for the critical N-dimensional Burgers' equation
p. 471-501
A remark on gauge transformations and the moving frame method
p. 503-515
Invertibility of Sobolev mappings under minimal hypotheses
p. 517-528
Multiple solutions for a class of elliptic equations with jumping nonlinearities
p. 529-553
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
p. 555-593
Statistical stability for Hénon maps of the Benedicks–Carleson type
p. 595-637
Regularity and mass conservation for discrete coagulation–fragmentation equations with diffusion
p. 639-654
Phase transitions with a minimal number of jumps in the singular limits of higher order theories
p. 655-691
Eventual regularization for the slightly supercritical quasi-geostrophic equation
p. 693-704
Extension d'une classe d'unicité pour les équations de Navier–Stokes
p. 705-718
Convergence to self-similarity for the Boltzmann equation for strongly inelastic Maxwell molecules
p. 719-737
Some new results in competing systems with many species
p. 739-761
Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros
p. 763-771
A regularity criterion for the 3D NSE in a local version of the space of functions of bounded mean oscillations
p. 773-778
On the Schrödinger–Maxwell equations under the effect of a general nonlinear term
p. 779-791

Issue no. 3 Table of Contents

Two-dimensional almost-Riemannian structures with tangency points
p. 793-807
A kinetic model for coagulation–fragmentation
p. 809-836
Ergodicity of Hamilton–Jacobi equations with a noncoercive nonconvex Hamiltonian in ℝ 2 /ℤ 2
p. 837-856
Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric
p. 857-876
Semilinear parabolic equation in 𝐑 N associated with critical Sobolev exponent
p. 877-900
Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
p. 901-915
Multiple homoclinic solutions for singular differential equations
p. 917-936
Nonlinear diffusion with a bounded stationary level surface
p. 937-952
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
p. 953-969
Erratum to “Well-posedness and scattering for the KP-II equation in a critical space”
p. 971-972

Issue no. 4 Table of Contents

Point-condensation phenomena and saturation effect for the one-dimensional Gierer–Meinhardt system
p. 973-995
Non-uniqueness of weak solutions for the fractal Burgers equation
p. 997-1016
Well-posed elliptic Neumann problems involving irregular data and domains
p. 1017-1054
Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials
p. 1055-1071
From the Klein–Gordon–Zakharov system to a singular nonlinear Schrödinger system
p. 1073-1096
Controllability of a string submitted to unilateral constraint
p. 1097-1119
Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations
p. 1121-1152

Issue no. 5 Table of Contents

On the energy critical Schrödinger equation in 3D non-trapping domains
p. 1153-1177
Singular solution to Special Lagrangian Equations
p. 1179-1188
Higher derivatives estimate for the 3D Navier–Stokes equation
p. 1189-1204
Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials
p. 1205-1226
Global well-posedness for the Navier–Stokes–Boussinesq system with axisymmetric data
p. 1227-1246
Un problème aux limites mixte des surfaces minimales avec une multiple projection plane et le dessin optimal des escaliers tournants
p. 1247-1270
Energy conservation and blowup of solutions for focusing Gross–Pitaevskii hierarchies
p. 1271-1290
Exact reconstruction of damaged color images using a total variation model
p. 1291-1331

Issue no. 6 Table of Contents

A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation
p. 1333-1360
Local Lipschitz regularity for degenerate elliptic systems
p. 1361-1396
Generic Morse–Smale property for the parabolic equation on the circle
p. 1397-1440
The mean curvature at the first singular time of the mean curvature flow
p. 1441-1459
The C 1 closing lemma for generic C 1 endomorphisms
p. 1461-1469
Equivalence of viscosity and weak solutions for the p(x)-Laplacian
p. 1471-1487
BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers
p. 1489-1505