Sobolev-Zygmund solutions for nonlinear elliptic equations with growth coefficients in BMO

摘要

In this paper we study, in the setting of the Zygmund-Sobolev spaces, weak solutions to Dirichlet problems for nonlinear elliptic equations in divergence form with unbounded coefficients of the type div(A(x, backward difference u)+B(x,u))=divFin a bounded Lipschitz domain omega subset of R-N N >2.