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

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. © 2017, University of Szeged. All rights reserved.

Авторы
Guliyev V.S. 1, 2 , Gadjiev T.S.1 , Galandarova S.1
Издательство
University of Szeged
Язык
Английский
Статус
Опубликовано
Номер
71
Том
2017
Год
2017
Организации
  • 1 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, AZ1141, Azerbaijan
  • 2 S. M. Nikolskii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
Ключевые слова
A priori estimates; Modified local generalized Sobolev-Morrey spaces; Solvability of dirichlet problem; Uniformly elliptic equations
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5956/
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