On the R ν-generalized solution of the Lamé system with corner singularity
Viktor A. Rukavishnikov, S. G. Nikolaev · Doklady Mathematics · 2015
For the Lamé system with homogeneous Dirichlet conditions on the boundary of a two-dimensional polygonal domain containing a reentrant corner, the existence and uniqueness of an R ν-generalized solution in a special weighted vector set is proved. Preliminarily, the properties of such sets are examined and a weighted analogue of the Friedrichs inequality is established.