Yazarlar |
T. S. Gadjiev
Azerbaijan National Academy of Sciences, Azerbaijan |
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 |