A survey on the existence, uniqueness and regularity questions to fully nonlinear elliptic partial differential equations

摘要

The aim of this survey paper is to provide the recent developments on the existence, uniqueness and regularity results to fully nonlinear elliptic equations of the form F (x,u,Du,D 2 u)= f (x) in Ω , u = 0on . Ω , where Ω is a smooth bounded domain in R n .