Dirichlet boundary value problems for uniformly elliptic equations in modified local generalized Sobolev-Morrey spaces

Guliyev, Vagif; Gadjiev, Tahir; Galandarova, ŞƏHLA

doi:10.14232/ejqtde.2017.1.71

Dirichlet boundary value problems for uniformly elliptic equations in modified local generalized Sobolev-Morrey spaces

Guliyev V. S., Gadjiev T. S., Galandarova Ş.

Electronic Journal of Qualitative Theory of Differential Equations, vol.2017, 2017 (SCI-Expanded, Scopus)

Nəşrin Növü: Article / Article
Cild: 2017
Nəşr tarixi: 2017
Doi nömrəsi: 10.14232/ejqtde.2017.1.71
jurnalın adı: Electronic Journal of Qualitative Theory of Differential Equations
Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Açar sözlər: A priori estimates, Modified local generalized Sobolev-Morrey spaces, Solvability of dirichlet problem, Uniformly elliptic equations
Açıq Arxiv Kolleksiyası: Məqalə
Adres: Yox

Qısa məlumat

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.