arXiv subjects

Yu. A. Bogan

Publications and source records attributed to Yu. A. Bogan.

2 recordsLinked to original sources

arXiv2018

A note on a weakly singular elliptic equation from theory of elasticity

Qualitative properties of a second order elliptic equation from the anisotropic elasticity are investigated. Some explicit solutions for a disk are presented. Behaviour of these solutions in dependence of coefficients is investigated. The problem of presence of singularities of solutions at the origin of coordinates is discussed.

cond-mat.soft↗

arXiv2018

The Axially Symmetric Displacement Problem in the Transversely Isotropic Elasticity

In the assumption of hexagonal symmetry of an elastic material the axially symmetric displacement problem in a bounded axially symmetric solid with a Lyapunov boundary is reduced to a system of regular (Fredholm) integral equations.

math.AP↗