Dirichlet Boundary Value Problems For Uniformly Elliptic Equations In Modified Local Generalized Sobolev Morrey Spaces

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.