Volume 359 (2021) no. 2

Table of contents

Mathematical Problems in Mechanics, Differential Geometry
A nonlinear Korn inequality on a surface with an explicit estimate of the constant
p. 105-111
Symplectic geometry
Remark on the Betti numbers for Hamiltonian circle actions
p. 113-117
Group theory
On the profinite rigidity of surface groups and surface words
p. 119-122
Algebra
Familles de polynômes unitairement parfaits sur 𝔽 2
[Some families of unitary perfect polynomials over 𝔽 2 ]
p. 123-130
Partial differential equations
Instability and nonordering of localized steady states to a classs of reaction-diffusion equations in ℝ N
p. 131-136
Analysis
New Inequalities of Simpson’s type for differentiable functions via generalized convex function
p. 137-147
Differential topology
An HP 2 -bundle over S 4 with nontrivial Â-genus
p. 149-154
Analysis
Sharp rigidity estimates for incompatible fields as a consequence of the Bourgain Brezis div-curl result
p. 155-160
Partial differential equations
Improvement of conditions for boundedness in a fully parabolic chemotaxis system with nonlinear signal production
p. 161-168
Analytic geometry
From Hörmander’s L 2 -estimates to partial positivity
p. 169-179
Complex analysis
L 2 extension theorem for jets with variable denominators
p. 181-193
Dynamical systems
Families of polynomials of every degree with no rational preperiodic points
p. 195-197
Control theory
Interpreting the dual Riccati equation through the LQ reproducing kernel
p. 199-204
Theory of functions
Appell and Sheffer sequences: on their characterizations through functionals and examples
p. 205-217
Partial differential equations
On the existence of ground states of an equation of Schrödinger–Poisson–Slater type
p. 219-227