On the regularity of elasticity problems with piecewise analytic data (Q1312839)

The authors present regularity results for solutions of plane elasticity in a polygon, in the frames of countably weighted Sobolev spaces introduced by the authors previously: the spaces of functions the weighted norms of whose derivatives are controlled by the series \(d^ k\cdot k!\). These results are very useful for designing and analyzing the \(p\) and \(h-p\) version of the finite element solutions of the elasticity problems.