A1 Refereed original research article in a scientific journal

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



Authors: Mikyoung Lee

Publisher: World Scientific Publishing Co. Pte Ltd

Publication year: 2019

Journal: Communications in Contemporary Mathematics

Journal name in source: Communications in Contemporary Mathematics

Article number: 1850024

Volume: 21

Issue: 4

Number of pages: 19

ISSN: 0219-1997

eISSN: 1793-6683

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

Self-archived copy’s web address: https://research.utu.fi/converis/portal/detail/Publication/32049425


Abstract
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 B1 under asymptotic assumptions on the nonlinear operator F. The results are further extended to fully nonlinear, asymptotically elliptic equations.

Downloadable publication

This is an electronic reprint of the original article.
This reprint may differ from the original in pagination and typographic detail. Please cite the original version.


Last updated on 2024-26-11 at 17:59