Plesha M. The boundary value problems for elliptic second order equations in domains with edges on the boundary

3. The dissertation is devoted to investigation of the behavior of solutions of boundary value problems in domains with edges on the boundary. A priori estimates of the strong solutions of the Dirichlet problem and mixed boundary value problem for linear elliptic second- order equations in non-divergente form are obtained. Moreover, a priori estimates of strong solutions of the Dirichlet problem for quasilinear equations in non- divergence form and weak solutions of the Dirichlet problem for quasilinear equations in divergence form are obtained. The existence theorem for Dirichlet problem in weight Sobolev space are obtained.