3 papers
math.AP2025
Dimension reduction for a coupled electro-elastic saddle-point problem at finite strains
Kateryna Buryachenko, Annegret Glitzky, Matthias Liero +1
We study the finite deformation of a thin, elastically heterogeneous sheet subject to electrostatic coupling. The interaction between mechanics and electrostatics is formulated as…
math.AP2025
Potential analysis of multi layers optic fiber models
Kateryna Buryachenko, Yuliya Kudrych
We study pointwise potential estimates of the weak nonnegative solutions for the double phase elliptic equations with variables powers of nonlinearity: p(x), q(x). We discuss also…
math.AP2023
Qualitative properties of the fourth-order hyperbolic equations
K. Buryachenko
We investigate the qualitative properties of the weak solutions to the boundary value problems for the hyperbolic fourth-order linear equations with constant coefficients in the pl…