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Nonlinear Elliptic Equations with Small BMO Coefficients in Nonsmooth Domains in Generalized Morrey Spaces  
Yazarlar
T. S. Gadjiev
Azerbaijan National Academy of Sciences, Azerbaijan
Prof. Dr. Vagıf GULIYEV Prof. Dr. Vagıf GULIYEV
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
We obtain the generalized Sobolev-Morrey spaces W1p,ϕ(Ω) estimate for weak solutions of a boundary value problem for nonlinear elliptic equations with BMO coefficients in nonsmooth domains. We investigate regularity of the weak solutions in generalized Morrey spaces Mp,ϕ(Ω). The nonlinearity has sufficiently small BMO seminorm and the boundary of the domain is sufficiently flat.
Anahtar Kelimeler
generalized Sobolev-Morrey spaces | maximal function | Nonlinear elliptic equations | Reifenberg flat domain | small BMO
Makale Türü Özgün Makale
Makale Alt Türü SCOPUS dergilerinde yayımlanan tam makale
Dergi Adı Journal of Mathematical Inequalities
Dergi ISSN 1846-579X
Makale Dili İngilizce
Basım Tarihi 06-2021
Cilt No 15
Sayı 2
Sayfalar 491 / 509
Doi Numarası 10.7153/jmi-2021-15-37