Research Article
Regularity of solutions to nonlinear elliptic equations in generalized Morrey spaces
https://doi.org/10.21203/rs.3.rs-1688817/v1
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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 ${\bf a}(x,\xi)$ is assumed to be measurable in $x$ for almost every $\xi$ and belongs to the small $BMO$ class.
Nonlinear elliptic equation
Reifenberg at domain
fractional maximal operator
generalized Morrey spaces
small BMO
Competing interests: The authors declare no competing interests.
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