Dirichlet boundary value problems for uniformly elliptic equations in modified local generalized Sobolev-Morrey spaces
   
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Azerbaijan National Academy Of Sciences, Azerbaycan
Tahir S. Gadjiev
Azerbaijan National Academy Of Sciences, Azerbaycan
Shahla Galandarova
Azerbaijan National Academy Of Sciences, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Electronic Journal of Qualitative Theory of Differential Equations (Q1)
Dergi ISSN 1417-3875 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2017
Cilt / Sayı / Sayfa 2017 / 1 / 1–17 DOI 10.14232/ejqtde.2017.1.71
Makale Linki https://doi.org/10.14232/ejqtde.2017.1.71
Özet
In this paper, we study the boundedness of the sublinear operators, generated by Calderon-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.
Anahtar Kelimeler
A priori estimates | Modified local generalized Sobolev-Morrey spaces | Solvability of dirichlet problem | Uniformly elliptic equations