Download or read book Dirichlet Boundary Value Problems for Uniformly Elliptic Equations in Modified Local Generalized Sobolev-Morrey Spaces written by Vagif S. Guliyev and published by . This book was released on 2018 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study the boundedness of the sublinear operators, generated by Calderón-Zygmund operators in local generalized Morrey spaces. By using these results we prove the solvability of the Dirichlet boundary value problem for a polyharmonic equation in modified local generalized Sobolev-Morrey spaces. We obtain a priori estimates for the solutions of the Dirichlet boundary value problems for the uniformly elliptic equations in modified local generalized Sobolev-Morrey spaces defined on bounded smooth domains.