Sommaire du Fascicule no. 1

On symmetry of nonnegative solutions of elliptic equations
An isoperimetric inequality for a nonlinear eigenvalue problem
Localizing estimates of the support of solutions of some nonlinear Schrödinger equations – The stationary case
Asymptotic transversality and symmetry breaking bifurcation from boundary concentrating solutions
Regularity of flat free boundaries in two-phase problems for the p-Laplace operator
Asymptotic analysis for surfaces with large constant mean curvature and free boundaries

Sommaire du Fascicule no. 2

Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities
Convergence of approximate deconvolution models to the mean Navier–Stokes equations
Isoperimetric inequalities for the first Neumann eigenvalue in Gauss space
Wasserstein geometry of porous medium equation
Water waves over a rough bottom in the shallow water regime
On bifurcation of solutions of the Yamabe problem in product manifolds
Sign-changing solutions of competition–diffusion elliptic systems and optimal partition problems

Sommaire du Fascicule no. 3

Null controllability of viscous Hamilton–Jacobi equations
Regularity in a one-phase free boundary problem for the fractional Laplacian
On the radiality of constrained minimizers to the Schrödinger–Poisson–Slater energy
Existence of solutions to an initial Dirichlet problem of evolutional p(x)-Laplace equations
Dimension of images of subspaces under Sobolev mappings
Electrified thin films: Global existence of non-negative solutions
Abstract convex optimal antiderivatives
Resonant dynamics for the quintic nonlinear Schrödinger equation

Sommaire du Fascicule no. 4

Γ-convergence for nonlocal phase transitions
Minimization of the zeroth Neumann eigenvalues with integrable potentials
Approximation and relaxation of perimeter in the Wiener space
Compactness of immersions with local Lipschitz representation
Increasing radial solutions for Neumann problems without growth restrictions
Classical non-mass-preserving solutions of coagulation equations
Hölder continuity for a drift-diffusion equation with pressure

Sommaire du Fascicule no. 5

Liouville-type theorems and decay estimates for solutions to higher order elliptic equations
Mean curvature flow with obstacles
Determination of the insolation function in the nonlinear Sellers climate model
Linear elasticity obtained from finite elasticity by Γ-convergence under weak coerciveness conditions
Global existence and long-time behavior of smooth solutions of two-fluid Euler–Maxwell equations
The space of 4-ended solutions to the Allen–Cahn equation in the plane
Eigenvalue problem for fully nonlinear second-order elliptic PDE on balls
Global existence and collisions for symmetric configurations of nearly parallel vortex filaments

Sommaire du Fascicule no. 6

Regularity for solutions of nonlocal, nonsymmetric equations
The Stokes conjecture for waves with vorticity
A mathematical formulation of the random phase approximation for crystals
Rolling manifolds on space forms
Energy and local energy bounds for the 1-d cubic NLS equation in H -1 4
Green bundles, Lyapunov exponents and regularity along the supports of the minimizing measures