### Issue no. 1 Table of Contents

Differential geometry/Mathematical problems in mechanics

W^{2,p}-estimates for surfaces in terms of their two fundamental forms

Analyse numérique

Sur une correction non linéaire et un principe du minimum local pour la discrétisation d'opérateurs de diffusion en différences finies
[A nonlinear correction and local minimum principle for diffusion operators with finite differences]

### Issue no. 2 Table of Contents

Ordinary differential equations

On the orbital Hausdorff dependence of differential equations with non-instantaneous impulses
Partial differential equations/Optimal control

Partial regularity for solutions to subelliptic eikonal equations
Partial differential equations/Mathematical physics

Wave packets and the quadratic Monge–Kantorovich distance in quantum mechanics
Partial differential equations

A generalised comparison principle for the Monge–Ampère equation and the pressure in 2D fluid flows
Functional analysis/Mathematical analysis

Remarks on the Monge–Kantorovich problem in the discrete setting
Analytic geometry/Differential geometry

Parametric CR-umbilical locus of ellipsoids in ${\mathbb{C}}^{2}$
### Issue no. 3 Table of Contents

Combinatorics/Ordinary differential equations

Majoration of the dimension of the space of concatenated solutions to a specific pantograph equation
Number theory/Mathematical analysis

Computation and theory of Euler sums of generalized hyperharmonic numbers
Mathematical analysis

Weak approximation by bounded Sobolev maps with values into complete manifolds
Complex analysis/Functional analysis

Complex variable approach to the analysis of a fractional differential equation in the real line
Partial differential equations

On the local existence for the Euler equations with free boundary for compressible and incompressible fluids
Algebraic geometry/Topology

An integrable connection on the configuration space of a Riemann surface of positive genus
### Issue no. 4 Table of Contents

Homological algebra/Algebraic geometry

A topological nullstellensatz for tensor-triangulated categories
Homological algebra/Differential geometry

Deformation cohomology of Lie algebroids and Morita equivalence
Partial differential equations/Dynamical systems

On the convergence of formally diverging neural net-based classifiers
Partial differential equations/Mathematical physics

On maximizing the fundamental frequency of the complement of an obstacle
Algebraic geometry/Differential geometry

Singularities and semistable degenerations for symplectic topology
Mathematical physics/Calculus of variations

Semi-classical limit of the Levy–Lieb functional in Density Functional Theory
### Issue no. 5 Table of Contents

Number theory/Mathematical analysis

On a conjecture of Faulhuber and Steinerberger on the logarithmic derivative of ϑ_{4}

Partial differential equations/Calculus of variations

Counterexamples in calculus of variations in L^{∞}through the vectorial Eikonal equation

Partial differential equations

A note on a global strong solution to the 2D Cauchy problem of density-dependent nematic liquid crystal flows with vacuum
Optimal control/Numerical analysis

On a finite element method for measure-valued optimal control problems governed by the 1D generalized wave equation
Statistique

Test d'hétéroscédasticité quand les covariables sont fonctionnelles
[Heteroscedasticity test when the covariables are functionals]

Mathematical problems in mechanics

The asymptotically sharp Korn interpolation and second inequalities for shells
### Issue no. 6 Table of Contents

Mathematical analysis/Harmonic analysis

Density of spaces of trigonometric polynomials with frequencies from a subgroup in L^{α}-spaces

Mathematical analysis/Functional analysis

A characterizing property of commutative Banach algebras may not be sufficient only on the invertible elements
Mathematical analysis/Ordinary differential equations

Existence of periodic solutions for a class of damped vibration problems
Ordinary differential equations/Harmonic analysis

The Gelfand–Shilov smoothing effect for the radially symmetric homogeneous Landau equation with Shubin initial datum
Partial differential equations/Numerical analysis

Transmission eigenvalues with artificial background for explicit material index identification
Partial differential equations

Stability for entire radial solutions to the biharmonic equation with negative exponents
Partial differential equations

An L^{p}-theory for almost sure local well-posedness of the nonlinear Schrödinger equations

Partial differential equations

On the stability of the state 1 in the non-local Fisher–KPP equation in bounded domains
Partial differential equations/Differential geometry

A Serrin-type symmetry result on model manifolds: An extension of the Weinberger argument
Partial differential equations/Probability theory

Convergence in Wasserstein distance for self-stabilizing diffusion evolving in a double-well landscape
Algebraic geometry/Differential geometry

Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars
Probability theory/Mathematical physics

Spectral localization for quantum Hamiltonians with weak random delta interaction
### Issue no. 7 Table of Contents

Algèbre homologique/Topologie différentielle

Extensions de fonctions d'un voisinage de la sphère à la boule
[Extending functions from a neighborhood of the sphere to the ball]

Théorie des groupes/Géométrie algébrique

Extension des scalaires par le morphisme de Frobenius, pour les groupes réductifs
[Frobenius base change for reductive groups]

Mathematical analysis/Partial differential equations

The quenching behavior of a quasilinear parabolic equation with double singular sources
Complex analysis/Functional analysis

On the boundary behaviour of derivatives of functions in the disc algebra
Analyse complexe/Géométrie analytique

Une propriété de continuité associée aux classes de cohomologie de Hodge
[A property of continuity associated with Hodge cohomology classes]

Partial differential equations/Functional analysis

Brézis–Gallouet–Wainger-type inequality with critical fractional Sobolev space and BMO
Partial differential equations/Functional analysis

Electromagnetic wave propagation in media consisting of dispersive metamaterials
Harmonic analysis/Ordinary differential equations

Solutions of a class of multiplicatively advanced differential equations
### Issue no. 8 Table of Contents

Lie algebras/Differential geometry

Geodesic orbit metrics on compact simple Lie groups arising from flag manifolds
Mathematical analysis/Functional analysis

On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation
Potential theory/Complex analysis

A note on the weighted log canonical thresholds of plurisubharmonic functions
Complex analysis/Functional analysis

Analytic balayage of measures, Carathéodory domains, and badly approximable functions in L^{p}

Partial differential equations

Chemotaxis effect vs. logistic damping on boundedness in the 2-D minimal Keller–Segel model
Partial differential equations

Remark on the semilinear ill-posedness for a periodic higher-order KP-I equation
Géométrie/Topologie

Homéomorphismes et nombre d'intersection
[Homeomorphisms and intersection numbers]

Physique mathématique

Une q-déformation de la transformation de Bargmann vraie-polyanalytique
[A q-deformation of the true-polyanalytic Bargmann transform]

### Issue no. 9 Table of Contents

Ordinary differential equations

Sharp uniqueness conditions for one-dimensional, autonomous ordinary differential equations
Partial differential equations/Calculus of variations

Uniqueness of degree-one Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7
Partial differential equations

Self-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition
Partial differential equations

Solutions to a nonlinear Neumann problem in three-dimensional exterior domains
Algebraic geometry/Topology

Milnor and Tjurina numbers for a hypersurface germ with isolated singularity
### Issue no. 10 Table of Contents

Partial differential equations

Elliptic boundary value problems for Bessel operators, with applications to anti-de Sitter spacetimes
Geometry/Analytic geometry

On the stability of flat complex vector bundles over parallelizable manifolds
Problèmes mathématiques de la mécanique

Un problème de confinement pour une coque membranaire linéairement élastique de type elliptique
[A confinement problem for a linearly elastic membrane shell of elliptic type]

### Issue no. 11-12 Table of Contents

Théorie des nombres/Géométrie algébrique

Le nombre des systèmes locaux ℓ-adiques sur une courbe
[Number of irreducible ℓ-adic local systems on a curve]

Algebra/Homological algebra

Homotopy G-algebra structure on the cochain complex of hom-type algebras
Analyse complexe/Géométrie analytique

Approximation polynomiale des jets de Whitney $\stackrel{\u203e}{\partial}$-plats de classe M
[Approximation by polynomials of Whitney $\stackrel{\u203e}{\partial}$-flat jets of class M]

Partial differential equations

Note on the fall of an axisymmetric body in a perfect fluid over a horizontal ramp
Partial differential equations

Scalar conservation laws: Initial and boundary value problems revisited and saturated solutions
Partial differential equations/Differential geometry

The Dirichlet problem on a strip for the α-translating soliton equation
Géométrie/Problèmes mathématiques de la mécanique

Sur la détermination du périmètre de l'ovale à huit centres
[On the determination of the perimeter of the eight-centered oval]

Mathematical problems in mechanics

Intrinsic formulation of the displacement-traction problem in linear shell theory