Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, cilt.43, sa.4, ss.14-31, 2023 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 4
- Basım Tarihi: 2023
- Dergi Adı: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
- Derginin Tarandığı İndeksler: Scopus
- Sayfa Sayıları: ss.14-31
- Anahtar Kelimeler: fractional maximal operator, generalized Morrey spaces, small BMO, Nonlinear elliptic equations, Reifenberg flat domain
- Ankara Üniversitesi Adresli: Evet
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.