Nonlinear Elliptic Equations with Small BMO Coefficients in Nonsmooth Domains in Generalized Morrey Spaces
Yazarlar (2)
Azerbaijan National Academy Of Sciences, Azerbaycan
Prof. Dr. Vagıf GULIYEV
Baku State University, Azerbaycan
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Mathematical Inequalities | ||
| Dergi ISSN | 1846-579X Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 06-2021 |
| Cilt / Sayı / Sayfa | 15 / 2 / 491–509 | DOI | 10.7153/jmi-2021-15-37 |
| 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 |