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Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces    
Yazarlar
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Tahir S. Gadjiev
Ayhan Şerbetçi
Ankara Üniversitesi, Türkiye
Yasin I. Rustamov
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
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Trans.Natl.Acad.Sci.Azerb.Ser.Phys.-Tech.Math.Sci. Mathematics
Dergi ISSN 2617-7900
Dergi Tarandığı Indeksler SCOPUS, Mathematical Reviews, Zentralblatt MATH and Math-net.ru.
Makale Dili İngilizce
Basım Tarihi 09-2023
Cilt No 43
Sayı 4
Sayfalar 14 / 31
Makale Linki https://trans.imm.az/volumes/43-4/4304-02.pdf
Atıf Sayıları
SCOPUS 1
Google Scholar 2

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