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Dirichlet boundary value problems for uniformly elliptic equations in modified local generalized Sobolev-Morrey spaces   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Tahir S. Gadjiev
Shahla Galandarova
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
Dergi ISSN 1417-3875
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 01-2017
Cilt No 2017
Sayı 71
Sayfalar 1 / 17
Doi Numarası 10.14232/ejqtde.2017.1.71