Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity

: Mikyoung Lee

Publisher: World Scientific Publishing Co. Pte Ltd

: 2019

: Communications in Contemporary Mathematics

: 1850024

: 21

: 4

: 19

: 0219-1997

: 1793-6683

DOI: https://doi.org/10.1142/S0219199718500244

: https://research.utu.fi/converis/portal/detail/Publication/32049425

We
prove interior Hessian estimates in the setting of weighted Orlicz
spaces for viscosity solutions of fully nonlinear, uniformly elliptic
equations F(D²u,x)=f(x)in B₁under asymptotic assumptions on the nonlinear operator F. The results are further extended to fully nonlinear, asymptotically elliptic equations.

(Final version) CCM-Mikyoung-Lee-Fully-nonlinear-equations.pdf