Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences, vol.43, no.4, pp.14-31, 2023 (Scopus)
- Publication Type: Article / Article
- Volume: 43 Issue: 4
- Publication Date: 2023
- Journal Name: Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
- Journal Indexes: Scopus
- Page Numbers: pp.14-31
- Keywords: fractional maximal operator, generalized Morrey spaces, small BMO, Nonlinear elliptic equations, Reifenberg flat domain
- Ankara University Affiliated: Yes
Abstract
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.