Issue no. 1 Table of Contents

Optimal regularity for planar mappings of finite distortion
Short time existence and uniqueness in Hölder spaces for the 2D dynamics of dislocation densities
Concentration of solutions for some singularly perturbed mixed problems: Asymptotics of minimal energy solutions
The limiting behavior of the value-function for variational problems arising in continuum mechanics
Best constants in a borderline case of second-order Moser type inequalities
Choquet simplices as spaces of invariant probability measures on post-critical sets
Profile of bubbling solutions to a Liouville system
The boundary regularity of non-linear parabolic systems II
The boundary regularity of non-linear parabolic systems I
Quasistatic crack growth in finite elasticity with non-interpenetration
Blow up and grazing collision in viscous fluid solid interaction systems
Gelfand type elliptic problems under Steklov boundary conditions
A blow-up criterion for compressible viscous heat-conductive flows
Solitary waves for nonlinear Klein–Gordon equations coupled with Born–Infeld theory
An abstract Nash–Moser theorem with parameters and applications to PDEs
Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D
Finite time blow-up for a one-dimensional quasilinear parabolic–parabolic chemotaxis system

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
Regularity of solutions for the critical N-dimensional Burgers' equation
A remark on gauge transformations and the moving frame method
Invertibility of Sobolev mappings under minimal hypotheses
Multiple solutions for a class of elliptic equations with jumping nonlinearities
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
Statistical stability for Hénon maps of the Benedicks–Carleson type
Regularity and mass conservation for discrete coagulation–fragmentation equations with diffusion
Phase transitions with a minimal number of jumps in the singular limits of higher order theories
Eventual regularization for the slightly supercritical quasi-geostrophic equation
Extension d'une classe d'unicité pour les équations de Navier–Stokes
Convergence to self-similarity for the Boltzmann equation for strongly inelastic Maxwell molecules
Some new results in competing systems with many species
Positive solutions for the p-Laplacian involving critical and supercritical nonlinearities with zeros
A regularity criterion for the 3D NSE in a local version of the space of functions of bounded mean oscillations
On the Schrödinger–Maxwell equations under the effect of a general nonlinear term

Issue no. 3 Table of Contents

Two-dimensional almost-Riemannian structures with tangency points
A kinetic model for coagulation–fragmentation
Ergodicity of Hamilton–Jacobi equations with a noncoercive nonconvex Hamiltonian in ℝ 2 /ℤ 2
Morse theory of causal geodesics in a stationary spacetime via Morse theory of geodesics of a Finsler metric
Semilinear parabolic equation in 𝐑 N associated with critical Sobolev exponent
Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
Multiple homoclinic solutions for singular differential equations
Nonlinear diffusion with a bounded stationary level surface
A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
Erratum to “Well-posedness and scattering for the KP-II equation in a critical space”

Issue no. 4 Table of Contents

Point-condensation phenomena and saturation effect for the one-dimensional Gierer–Meinhardt system
Non-uniqueness of weak solutions for the fractal Burgers equation
Well-posed elliptic Neumann problems involving irregular data and domains
Solitary waves in Abelian Gauge Theories with strongly nonlinear potentials
From the Klein–Gordon–Zakharov system to a singular nonlinear Schrödinger system
Controllability of a string submitted to unilateral constraint
Multi-bump standing waves with critical frequency for nonlinear Schrödinger equations

Issue no. 5 Table of Contents

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

Issue no. 6 Table of Contents

A quasi-monotonicity formula and partial regularity for borderline solutions to a parabolic equation
Local Lipschitz regularity for degenerate elliptic systems
Generic Morse–Smale property for the parabolic equation on the circle
The mean curvature at the first singular time of the mean curvature flow
The C 1 closing lemma for generic C 1 endomorphisms
Equivalence of viscosity and weak solutions for the p(x)-Laplacian
BMO, integrability, Harnack and Caccioppoli inequalities for quasiminimizers