Sommaire du Fascicule no. 1

Hamilton-Jacobi flows and characterization of solutions of Aronsson equations
A finiteness theorem for holomorphic Banach bundles
Counting lines on surfaces
Laplace type operators: Dirichlet problem
On surfaces with p g =q=1 and non-ruled bicanonical involution
Continuity of solutions of linear, degenerate elliptic equations
Sobolev versus Hölder local minimizers and existence of multiple solutions for a singular quasilinear equation
The equation -Δ𝑢-λ𝑢 |𝑥| 2 =|∇𝑢| 𝑝 +𝑐𝑓(𝑥): The optimal power

Sommaire du Fascicule no. 2

The Calderón-Zygmund theory for elliptic problems with measure data
Addendum to: On volumes of arithmetic quotients of SO(1,n)
One-dimensional symmetry of periodic minimizers for a mean field equation
Two-scale div-curl lemma
Holomorphic line bundles and divisors on a domain of a Stein manifold
Persistence of Coron's solution in nearly critical problems

Sommaire du Fascicule no. 3

Quasi-lines and their degenerations
A regularity theory for scalar local minimizers of splitting-type variational integrals
Combinatorial mapping-torus, branched surfaces and free group automorphisms
On the hessian of the optimal transport potential
Equations in the Hadamard ring of rational functions
Extensions of the Cugiani-Mahler theorem

Sommaire du Fascicule no. 4

Sobolev regularity via the convergence rate of convolutions and Jensen's inequality
Self-similarly expanding networks to curve shortening flow
The asymptotic behaviour of surfaces with prescribed mean curvature near meeting points of fixed and free boundaries
Rational fixed points for linear group actions
Sharp estimates for bubbling solutions of a fourth order mean field equation
Lie description of higher obstructions to deforming submanifolds
Singular Levi-flat hypersurfaces and codimension one foliations
Sharp upper bounds for a singular perturbation problem related to micromagnetics