Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces
Yazarlar (4)
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Azerbaijan University Of Architecture And Construction, Azerbaycan
Ankara Üniversitesi, Türkiye
Azerbaijan National Academy Of Sciences, Azerbaycan
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Transactions of National Academy of Sciences of Azerbaijan Series of Physical Technical and Mathematical Sciences | ||
| Dergi ISSN | 3005-8139 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCOPUS, Mathematical Reviews, Zentralblatt MATH and Math-net.ru. | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2023 |
| Cilt / Sayı / Sayfa | 43 / 4 / 14–31 | DOI | – |
| Makale Linki | https://trans.imm.az/volumes/43-4/4304-02.pdf | ||
| Özet |
| In this paper, we prove the generalized Morrey estimates for the gradient of weak solutions to a class of nonlinear elliptic equations in a very general irregular domain. The nonlinearity a(x, ξ) is assumed to be measurable in x for almost every ξ and belongs to the small BMO class. |
| Anahtar Kelimeler |
| fractional maximal operator | generalized Morrey spaces, small BMO | Nonlinear elliptic equations | Reifenberg flat domain |