Sommaire du Fascicule no. 1

Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy–Leray potential
Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates
On the “viscous incompressible fluid+rigid body” system with Navier conditions
Asymptotic behavior for critical Patlak–Keller–Segel model and a repulsive–attractive aggregation equation
Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs
Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
Counterexample to regularity in average-distance problem
New results on Γ-limits of integral functionals

Sommaire du Fascicule no. 2

A uniqueness result for the quasiconvex operator and first order PDEs for convex envelopes
Optimal limiting embeddings for Δ-reduced Sobolev spaces in L 1
Blow-up set for type I blowing up solutions for a semilinear heat equation
Gelfand type quasilinear elliptic problems with quadratic gradient terms
On the Cauchy problem of a weakly dissipative μ-Hunter–Saxton equation
Small time heat kernel asymptotics at the cut locus on surfaces of revolution
On the sharp constant for the weighted Trudinger–Moser type inequality of the scaling invariant form
Global regularity for the energy-critical NLS on 𝕊 3
Duality methods for a class of quasilinear systems
Flowing maps to minimal surfaces: Existence and uniqueness of solutions
Feedback stabilization of a simplified 1d fluid–particle system
On double-covering stationary points of a constrained Dirichlet energy
Conditions at infinity for the inhomogeneous filtration equation

Sommaire du Fascicule no. 3

Standing waves for linearly coupled Schrödinger equations with critical exponent
Hardy inequalities on Riemannian manifolds and applications
Bang-bang property for time optimal control of semilinear heat equation
Simultaneous local exact controllability of 1D bilinear Schrödinger equations
Multiple brake orbits on compact convex symmetric reversible hypersurfaces in 𝐑 2n
Well-posedness for Hall-magnetohydrodynamics
Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
Constant Q-curvature metrics near the hyperbolic metric
Gradient integrability and rigidity results for two-phase conductivities in two dimensions
On linear instability of solitary waves for the nonlinear Dirac equation

Sommaire du Fascicule no. 4

The near field refractor
The boundary value problem for the super-Liouville equation
Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds
An energy constrained method for the existence of layered type solutions of NLS equations
Global smooth dynamics of a fully ionized plasma with long-range collisions
Unilateral gradient flow of the Ambrosio–Tortorelli functional by minimizing movements
Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase
Nondegeneracy of blow-up points for the parabolic Keller–Segel system

Sommaire du Fascicule no. 5

Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors
Estimates on fractional higher derivatives of weak solutions for the Navier–Stokes equations
Distributional Jacobian equal to ℋ 1 measure
From homogenization to averaging in cellular flows
Partially hyperbolic geodesic flows
Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping

Sommaire du Fascicule no. 6

Almost reduction and perturbation of matrix cocycles
Multi-bang control of elliptic systems
Regularity of p(·)-superharmonic functions, the Kellogg property and semiregular boundary points
Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli
Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for nonlinear Schrödinger type equations
Extremal domains of big volume for the first eigenvalue of the Laplace–Beltrami operator in a compact manifold
Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: The 2D case
Constrained energy minimization and orbital stability for the NLS equation on a star graph
Motion of a vortex filament with axial flow in the half space