Global regularity in Orlicz-Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients

We show continuity in generalized Orlicz-Morrey spaces MΦ,ϕ(ℝn) of sublinear integral operators generated by Calder´on-Zygmund operator and their commutators with BMO functions. The obtained estimates are used to study global regularity of the solution of the Dirichlet problem for linear uniformly elliptic operator (Formula presented.) with discontinuous coefficients. We show that Lu ∈ MΦ, φ implies the second-order derivatives belong to MΦ,φ. © 2018 Texas State University

Авторы
Guliyev V.S. 1, 2, 3 , Ahmadli A.A.4 , Omarova M.N.5 , Softova L.6
Редакторы
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Издательство
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Номер выпуска
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Язык
Английский
Страницы
1-24
Статус
Опубликовано
Подразделение
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DOI
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Номер
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Том
2018
Год
2018
Организации
  • 1 Ahi Evran University, Department of Mathematics, Kirsehir, 40100, Turkey
  • 2 S.M. Nikol’skii Institute of Mathematics at RUDN University, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mechanics, Baku, Az 1141, Azerbaijan
  • 4 Dumlupinar University, Department of Mathematics, Kytahya, 40100, Turkey
  • 5 Baku State University, Baku, AZ1141, Azerbaijan
  • 6 Department of Civil Engineering, Second University of Naples, Italy
Ключевые слова
Calder´on-Zygmund integrals; Commutators; Dirichlet problem; Elliptic equations; Generalized Orlicz-Morrey spaces; VMO
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/7364/