GLOBAL REGULARITY IN ORLICZ-MORREY SPACES OF SOLUTIONS TO NONDIVERGENCE ELLIPTIC EQUATIONS WITH VMO COEFFICIENTS
Yazarlar (4)
Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Dumlupinar Üniversitesi, Türkiye
Baku State University, Azerbaycan
Università Degli Studi Della Campania Luigi Vanvitelli, İtalya
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Electronic Journal of Differential Equations (Q2) | ||
| Dergi ISSN | 1072-6691 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 05-2018 |
| Cilt / Sayı / Sayfa | 2018 / 1 / 1–24 | DOI | – |
| 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 |
