Issue no. 1 Table of Contents

An Integral Equation in Conformal Geometry
p. 1-21
Characteristic Vector Fields of Generic Distributions of Corank 2
p. 23-38
On Weakly Harmonic Maps From Finsler to Riemannian Manifolds
p. 39-57
Asymptotic Analysis, in a Thin Multidomain, of Minimizing Maps With Values in S 2
p. 59-80
Isoperimetric Profile and Uniqueness for Neumann Problems
p. 81-100
Nodal Domains and Spectral Minimal Partitions
p. 101-138
Morse Theory for Indefinite Nonlinear Elliptic Problems
p. 139-158
Hölder Continuity of Solutions of Supercritical Dissipative Hydrodynamic Transport Equations
p. 159-180
A Stochastic Lagrangian Proof of Global Existence of the Navier-Stokes Equations for Flows With Small Reynolds Number
p. 181-189
On the Spectrum of a Nonlinear Planar Problem
p. 191-222
Anti-Symmetric Hamiltonians (II) : Variational Resolutions for Navier-Stokes and Other Nonlinear Evolutions
p. 223-255
Global Boundary Controllability of the Saint-Venant System for Sloped Canals With Friction
p. 257-270
Exponential Convergence for a Periodically Driven Semilinear Heat Equation
p. 271-284
On the Geometry of Null Cones in Einstein-Vacuum Spacetimes
p. 285-328
Controllability of the Discrete-Spectrum Schrödinger Equation Driven by an External Field
p. 329-349

Issue no. 2 Table of Contents

A Variational Approach to the Local Character of G-Closure : the Convex Case
p. 351-373
Random Homogenization of an Obstacle Problem
p. 375-395
Multiple Positive Solutions for a Critical Quasilinear Equation Via Morse Theory
p. 397-413
Existence and Uniqueness for a Nonlinear Parabolic/Hamilton-Jacobi Coupled System Describing the Dynamics of Dislocation Densities
p. 415-435
Metrics of Constant Curvature on a Riemann Surface With Two Corners on the Boundary
p. 437-456
Boundary Controllability for the Nonlinear Korteweg-De Vries Equation on Any Critical Domain
p. 457-475
Transverse Nonlinear Instability for Two-Dimensional Dispersive Models
p. 477-496
Asymptotic Analysis of the p-Laplacian Flow in an Exterior Domain
p. 497-520
Minimizers of Dirichlet Functionals on the n-Torus and the Weak KAM Theory
p. 521-545
Singular Asymptotic Expansions for Dirichlet Eigenvalues and Eigenfunctions of the Laplacian on Thin Planar Domains
p. 547-560
Second-Order Analysis for Optimal Control Problems With Pure State Constraints and Mixed Control-State Constraints
p. 561-598
Wellposedness and Stability Results for the Navier-Stokes Equations in 𝐑 3
p. 599-624
Asymptotic Stability of Oseen Vortices for a Density-Dependent Incompressible Viscous Fluid
p. 625-648
Null Controllability of the Complex Ginzburg-Landau Equation
p. 649-673
Multiple Critical Points of Perturbed Symmetric Strongly Indefinite Functionals
p. 675-688
Geometric Expansion, Lyapunov Exponents and Foliations
p. 689-704

Issue no. 3 Table of Contents

Hydrodynamic Limits : Some Improvements of the Relative Entropy Method
p. 705-744
A Smoothing Property for the L 2 -Critical NLS Equations and an Application to Blowup Theory
p. 745-762
Killing Graphs With Prescribed Mean Curvature and Riemannian Submersions
p. 763-775
A Regularity Result for a Solid-Fluid System Associated to the Compressible Navier-Stokes Equations
p. 777-813
Asymptotic Spreading of KPP Reactive Fronts in Incompressible Space-Time Random Flows
p. 815-839
On the Periodic KdV Equation in Weighted Sobolev Spaces
p. 841-853
Global Attraction to Solitary Waves for Klein-Gordon Equation With Mean Field Interaction
p. 855-868
On the Complex Structure of Positive Solutions to Matukuma-Type Equations
p. 869-887
Large Solutions for the Laplacian With a Power Nonlinearity Given by a Variable Exponent
p. 889-902
Entire Spacelike Radial Graphs in the Minkowski Space, Asymptotic to the Light-Cone, With Prescribed Scalar Curvature
p. 903-915
Well-Posedness and Scattering for the KP-II Equation in a Critical Space
p. 917-941
Standing Waves for Nonlinear Schrödinger Equations With Singular Potentials
p. 943-958
WKB Analysis for the Gross-Pitaevskii Equation With Non-Trivial Boundary Conditions at Infinity
p. 959-977
Homogenization of Periodic Semilinear Parabolic Degenerate PDEs
p. 979-998
Error Estimates on Homogenization of Free Boundary Velocities in Periodic Media
p. 999-1019
Traveling Waves in a One-Dimensional Heterogeneous Medium
p. 1021-1047
Erratum to : “Multiple Critical Points of Perturbed Symmetric Strongly Indefinite Functionals”
p. 1049-1054

Issue no. 4 Table of Contents

A Vanishing Viscosity Approach to a Quasistatic Evolution Problem With Nonconvex Energy
p. 1055-1080
Conjugate and Cut Loci of a Two-Sphere of Revolution With Application to Optimal Control
p. 1081-1098
Liouville Results for m-Laplace Equations of Lane-Emden-Fowler Type
p. 1099-1119
Two Dimensional Incompressible Ideal Flow Around a Thin Obstacle Tending to a Curve
p. 1121-1148
Regularity of the Optimal Shape for the First Eigenvalue of the Laplacian With Volume and Inclusion Constraints
p. 1149-1163
Cohomologically Rigid Vector Fields : the Katok Conjecture in Dimension 3
p. 1165-1182
Existence of Minimizers of Free Autonomous Variational Problems Via Solvability of Constrained Ones
p. 1183-1205
Pulsating Traveling Waves in the Singular Limit of a Reaction-Diffusion System in Solid Combustion
p. 1207-1222
Vortex Analysis of the Periodic Ginzburg-Landau Model
p. 1223-1236
Continuation of Relative Periodic Orbits in a Class of Triatomic Hamiltonian Systems
p. 1237-1264
New Isoperimetric Estimates for Solutions to Monge-Ampère Equations
p. 1265-1275
Singly Periodic Solutions of a Semilinear Equation
p. 1277-1297
Uniqueness of Values of Aronsson Operators and Running Costs in “tug-of-War” Games
p. 1299-1308
A Generalization of Aubry-Mather Theory to Partial Differential Equations and Pseudo-Differential Equations
p. 1309-1344
Moving Domain Walls in Magnetic Nanowires
p. 1345-1360
On Asymptotic Stability in Energy Space of Ground States of NLS in 2D
p. 1361-1386
On Polyharmonic Maps Into Spheres in the Critical Dimension
p. 1387-1405
Peano Type Theorem for Abstract Parabolic Equations
p. 1407-1421
Existence, Multiplicity and Profile of Sign-Changing Clustered Solutions of a Semiclassical Nonlinear Schrödinger Equation
p. 1423-1451
Good Banach Spaces for Piecewise Hyperbolic Maps Via Interpolation
p. 1453-1481
The Symplectic Structure of Curves in Three Dimensional Spaces of Constant Curvature and the Equations of Mathematical Physics
p. 1483-1515
Stability of Multipeakons
p. 1517-1532
Decay of Geometry for Fibonacci Critical Covering Maps of the Circle
p. 1533-1551

Issue no. 5 Table of Contents

Global Existence for Degenerate Quadratic Reaction-Diffusion Systems
p. 1553-1568
A Note on Constant Geodesic Curvature Curves on Surfaces
p. 1569-1584
An Optimal Partial Regularity Result for Minimizers of an Intrinsically Defined Second-Order Functional
p. 1585-1605
A Regularity Criterion for the Dissipative Quasi-Geostrophic Equations
p. 1607-1619
Finding New Families of Rank-One Convex Polynomials
p. 1621-1634
The Normal Form of the Navier-Stokes Equations in Suitable Normed Spaces
p. 1635-1673
Strong Convergence Towards Homogeneous Cooling States for Dissipative Maxwell Models
p. 1675-1700
Existence and Symmetry of Least Energy Solutions for a Class of Quasi-Linear Elliptic Equations
p. 1701-1716
On the Pullback Equation φ * g=f
p. 1717-1741
Lyapunov Control of a Quantum Particle in a Decaying Potential
p. 1743-1765
Boundary Blow-Up Solutions of Cooperative Systems
p. 1767-1791
Some Controllability Results for the 2D Kolmogorov Equation
p. 1793-1815
Strichartz Estimates for the Wave Equation on Manifolds With Boundary
p. 1817-1829
Global Well-Posedness and Scattering for the Defocusing H 1 2 -Subcritical Hartree Equation in R d
p. 1831-1852
Nonlinear Schrödinger Equation on Real Hyperbolic Spaces
p. 1853-1869
Critical Mass Phenomenon for a Chemotaxis Kinetic Model With Spherically Symmetric Initial Data
p. 1871-1895
Generalised Twists, SO n, and the p-Energy Over a Space of Measure Preserving Maps
p. 1897-1924
Conservation Laws on Complex Networks
p. 1925-1951
Partial Regularity Results Up to the Boundary for Harmonic Maps Into a Finsler Manifold
p. 1953-1970
Density of Hyperbolicity and Tangencies in Sectional Dissipative Regions
p. 1971-2000
Uniqueness of Solutions to Degenerate Elliptic Problems With Unbounded Coefficients
p. 2001-2024
Navier-Stokes Equations With Nonhomogeneous Boundary Conditions in a Convex Bi-Dimensional Domain
p. 2025-2053

Issue no. 6 Table of Contents

Asymmetric Potentials and Motor Effect : a Homogenization Approach
p. 2055-2071
Two Solvable Systems of Coagulation Equations With Limited Aggregations
p. 2073-2089
On the Uniqueness of the Second Bound State Solution of a Semilinear Equation
p. 2091-2110
Approximate Controllability for a System of Schrödinger Equations Modeling a Single Trapped Ion
p. 2111-2136
Quasistatic Evolution in the Theory of Perfect Elasto-Plastic Plates. Part II : Regularity of Bending Moments
p. 2137-2163
On the Uniqueness of Weak Solutions for the 3D Navier-Stokes Equations
p. 2165-2180
On the Controllability of the Fifth-Order Korteweg-De Vries Equation
p. 2181-2209
Stability of Solitary Waves for a System of Nonlinear Schrödinger Equations With Three Wave Interaction
p. 2211-2226
The Lifespan of Spherically Symmetric Solutions of the Compressible Euler Equations Outside an Impermeable Sphere
p. 2227-2252
Global Well-Posedness and Scattering for the Derivative Nonlinear Schrödinger Equation With Small Rough Data
p. 2253-2281
A Representation Formula for the Voltage Perturbations Caused by Diametrically Small Conductivity Inhomogeneities. Proof of Uniform Validity
p. 2283-2315
The Optimal Shape of a Dendrite Sealed at Both Ends
p. 2317-2333
On KP-II Type Equations on Cylinders
p. 2335-2358
On the Two-Phase Membrane Problem With Coefficients Below the Lipschitz Threshold
p. 2359-2372
Exact Boundary Controllability for Quasilinear Wave Equations in a Planar Tree-Like Network of Strings
p. 2373-2384
Random Data Cauchy Problem for Supercritical Schrödinger Equations
p. 2385-2402
Existence of Weak Solutions for a Non-Classical Sharp Interface Model for a Two-Phase Flow of Viscous, Incompressible Fluids
p. 2403-2424
Existence of Minimizers for Kohn-Sham Models in Quantum Chemistry
p. 2425-2455
Homogenization of p-Laplacian in Perforated Domain
p. 2457-2479
Liouville Type Results for Periodic and Almost Periodic Linear Operators
p. 2481-2502
Controllability on the Group of Diffeomorphisms
p. 2503-2509
A Refined Brunn-Minkowski Inequality for Convex Sets
p. 2511-2519
Vanishing Viscosity Limit for an Expanding Domain in Space
p. 2521-2537
Constructing a Relativistic Heat Flow by Transport Time Steps
p. 2539-2580
px-Harmonic Functions With Unbounded Exponent in a Subdomain
p. 2581-2595