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
Aysel A. Ahmadli
Dumlupinar Üniversitesi, Türkiye
Dumlupinar Üniversitesi, Türkiye
Mehriban N. Omarova
Baku State University, Azerbaycan
Baku State University, Azerbaycan
Lubomira Softova 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 | – |
| Makale Linki | http://www.kurims.kyoto-u.ac.jp/EMIS/journals/EJDE/Volumes/2018/110/guliyev.pdf | ||
| Özet |
| We show continuity in generalized Orlicz-Morrey spaces MΦ, ϕ (Rn) of sublinear integral operators generated by Calderón-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= Pn i, j= 1 aij (x) Dij with discontinuous coefficients. We show that Lu∈ MΦ, ϕ implies the second-order derivatives belong to MΦ, ϕ. |
| Anahtar Kelimeler |
| Calder´on-Zygmund integrals | Commutators | Dirichlet problem | Elliptic equations | Generalized Orlicz-Morrey spaces | VMO |
