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GLOBAL REGULARITY IN ORLICZ-MORREY SPACES OF SOLUTIONS TO NONDIVERGENCE ELLIPTIC EQUATIONS WITH VMO COEFFICIENTS   
Yazarlar
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi
Aysel A. Ahmadli
Mehriban N. Omarova
Lubomira Softova
Özet
We show continuity in generalized Orlicz-Morrey spaces M-Phi,M-phi (R-n) of sublinear integral operators generated by Calderon-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 L = Sigma(3)(i,j=1) a(ij)(x)D-ij with discontinuous coefficients. We show that Lu is an element of M-Phi,M-phi implies the second-order derivatives belong to M-Phi,M-phi.
Anahtar Kelimeler
Calder´on-Zygmund integrals | Commutators | Dirichlet problem | Elliptic equations | Generalized Orlicz-Morrey spaces | VMO
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
Dergi ISSN 1072-6691
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 05-2018
Cilt No 2018
Sayı 1
Sayfalar 1 / 24
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 8
SCOPUS 7

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