Sommaire du Fascicule no. 1

Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy–Leray potential
p. 1-22
Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates
p. 23-53
On the “viscous incompressible fluid+rigid body” system with Navier conditions
p. 55-80
Asymptotic behavior for critical Patlak–Keller–Segel model and a repulsive–attractive aggregation equation
p. 81-101
Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs
p. 103-128
Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces
p. 129-154
Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
p. 155-167
Counterexample to regularity in average-distance problem
p. 169-184
New results on Γ-limits of integral functionals
p. 185-202

Sommaire du Fascicule no. 2

A uniqueness result for the quasiconvex operator and first order PDEs for convex envelopes
p. 203-215
Optimal limiting embeddings for Δ-reduced Sobolev spaces in L 1
p. 217-230
Blow-up set for type I blowing up solutions for a semilinear heat equation
p. 231-247
Gelfand type quasilinear elliptic problems with quadratic gradient terms
p. 249-265
On the Cauchy problem of a weakly dissipative μ-Hunter–Saxton equation
p. 267-279
Small time heat kernel asymptotics at the cut locus on surfaces of revolution
p. 281-295
On the sharp constant for the weighted Trudinger–Moser type inequality of the scaling invariant form
p. 297-314
Global regularity for the energy-critical NLS on 𝕊 3
p. 315-338
Duality methods for a class of quasilinear systems
p. 339-348
Flowing maps to minimal surfaces: Existence and uniqueness of solutions
p. 349-368
Feedback stabilization of a simplified 1d fluid–particle system
p. 369-389
On double-covering stationary points of a constrained Dirichlet energy
p. 391-411
Conditions at infinity for the inhomogeneous filtration equation
p. 413-428

Sommaire du Fascicule no. 3

Standing waves for linearly coupled Schrödinger equations with critical exponent
p. 429-447
Hardy inequalities on Riemannian manifolds and applications
p. 449-475
Bang-bang property for time optimal control of semilinear heat equation
p. 477-499
Simultaneous local exact controllability of 1D bilinear Schrödinger equations
p. 501-529
Multiple brake orbits on compact convex symmetric reversible hypersurfaces in 𝐑 2n
p. 531-554
Well-posedness for Hall-magnetohydrodynamics
p. 555-565
Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
p. 567-589
Constant Q-curvature metrics near the hyperbolic metric
p. 591-614
Gradient integrability and rigidity results for two-phase conductivities in two dimensions
p. 615-638
On linear instability of solitary waves for the nonlinear Dirac equation
p. 639-654

Sommaire du Fascicule no. 4

The near field refractor
p. 655-684
The boundary value problem for the super-Liouville equation
p. 685-706
Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds
p. 707-724
An energy constrained method for the existence of layered type solutions of NLS equations
p. 725-749
Global smooth dynamics of a fully ionized plasma with long-range collisions
p. 751-778
Unilateral gradient flow of the Ambrosio–Tortorelli functional by minimizing movements
p. 779-822
Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative phase
p. 823-850
Nondegeneracy of blow-up points for the parabolic Keller–Segel system
p. 851-875

Sommaire du Fascicule no. 5

Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors
p. 877-897
Estimates on fractional higher derivatives of weak solutions for the Navier–Stokes equations
p. 899-945
Distributional Jacobian equal to ℋ 1 measure
p. 947-955
From homogenization to averaging in cellular flows
p. 957-983
Partially hyperbolic geodesic flows
p. 985-1014
Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation
p. 1015-1034
Carleman estimates for semi-discrete parabolic operators and application to the controllability of semi-linear semi-discrete parabolic equations
p. 1035-1078
Global well-posedness and exponential decay rates for a KdV–Burgers equation with indefinite damping
p. 1079-1100

Sommaire du Fascicule no. 6

Almost reduction and perturbation of matrix cocycles
p. 1101-1107
Multi-bang control of elliptic systems
p. 1109-1130
Regularity of p(·)-superharmonic functions, the Kellogg property and semiregular boundary points
p. 1131-1153
Symmetry and stability of asymptotic profiles for fast diffusion equations in annuli
p. 1155-1173
Error bounds for the (KdV)/(KP-I) and (gKdV)/(gKP-I) asymptotic regime for nonlinear Schrödinger type equations
p. 1175-1230
Extremal domains of big volume for the first eigenvalue of the Laplace–Beltrami operator in a compact manifold
p. 1231-1265
Almost sure global well posedness for the radial nonlinear Schrödinger equation on the unit ball I: The 2D case
p. 1267-1288
Constrained energy minimization and orbital stability for the NLS equation on a star graph
p. 1289-1310
Motion of a vortex filament with axial flow in the half space
p. 1311-1335