English

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

Soft Condensed Matter 2018-02-21 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1802.07235,
  title  = {A note on a weakly singular elliptic equation from theory of elasticity},
  author = {Yu. A. Bogan},
  journal= {arXiv preprint arXiv:1802.07235},
  year   = {2018}
}

Comments

11 pages