The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces
Yazarlar (3)
Tahir S. Gadjiev
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Prof. Dr. Vagıf GULIYEV Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Konul G. Suleymanova
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Studia Scientiarum Mathematicarum Hungarica (Q2) | ||
| Dergi ISSN | 0081-6906 Dergi Bilgileri (2020) | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2020 |
| Cilt / Sayı / Sayfa | 57 / 1 / 68–90 | DOI | 10.1556/012.2020.57.1.1449 |
| Makale Linki | https://akjournals.com/view/journals/012/57/1/article-p68.xml | ||
| UAK Araştırma Alanları |
Fen Bilimleri ve Matematik
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| Özet |
| In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class A p by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood operators and Calderon-Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions Dirichlet boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev-Morrey spaces in a smooth bounded domain Ω ⊂ ℝ n are obtained. |
| Anahtar Kelimeler |
| A priori estimates | Commutators | Generalized weighted Morrey spaces | Uniformly higher-order elliptic equations | VMO |
| Atıf Sayıları | |
| Scopus | 9 |
| Google Scholar | 13 |