On a Problem of BABUŠKA (Stable Asymptotics of the Solution to the DIRICHLET Problem for Elliptic Equations of Second Order in Domains with Angular Points)

We consider the DIRICHLET problem for linear elliptic differential equations with smooth real coefficients in a two-dimensional domain with an angle point. We find an asymptotic representation of the solution near this point, which is stable under small variations of the angle.