Estimates in the generalized Campanato-John-Nirenberg spaces for fully nonlinear elliptic equations.
The authors consider estimates in the generalized Campanato-John-Nirenberg spaces \(\text{BMO}_\Psi\) for solutions to the fully nonlinear elliptic equation \(F(x, D^2u)= f(x),\) where \(\Omega\) is a bounded domain in \(\mathbb{R}^N\). To obtain \(\text{BMO}_\Psi\)-estimates the authors use a perturbation argument and first prove that the Evans-Krylov estimates imply Campanato inequalities.
scientific article; zbMATH DE number 2032540
scientific article