Yazarlar |
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 |