Table of contents

Mathematical Problems in Mechanics, Differential Geometry
A nonlinear Korn inequality on a surface with an explicit estimate of the constant
Symplectic geometry
Remark on the Betti numbers for Hamiltonian circle actions
Group theory
On the profinite rigidity of surface groups and surface words
Algebra
Familles de polynômes unitairement parfaits sur 𝔽 2
[Some families of unitary perfect polynomials over 𝔽 2 ]
Partial differential equations
Instability and nonordering of localized steady states to a classs of reaction-diffusion equations in ℝ N
Analysis
New Inequalities of Simpson’s type for differentiable functions via generalized convex function
Differential topology
An HP 2 -bundle over S 4 with nontrivial Â-genus
Analysis
Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result
Partial differential equations
Improvement of conditions for boundedness in a fully parabolic chemotaxis system with nonlinear signal production
Analytic geometry
From Hörmander’s L 2 -estimates to partial positivity
Complex analysis
L 2 extension theorem for jets with variable denominators
Dynamical systems
Families of polynomials of every degree with no rational preperiodic points
Control theory
Interpreting the dual Riccati equation through the LQ reproducing kernel
Theory of functions
Appell and Sheffer sequences: on their characterizations through functionals and examples
Partial differential equations
On the existence of ground states of an equation of Schrödinger–Poisson–Slater type