Second order $L_p$ estimates for subsolutions of fully nonlinear equations
Analysis of PDEs
2024-12-17 v2
Abstract
We obtain new estimates for subsolutions to fully nonlinear equations. Based on our estimates, we further study several topics such as the third and fourth order derivative estimates for concave fully nonlinear equations, critical exponents of estimates and maximum principles, and the existence and uniqueness of solutions to fully nonlinear equations on the torus with free terms in the spaces or in the space of Radon measures.
Cite
@article{arxiv.2311.04399,
title = {Second order $L_p$ estimates for subsolutions of fully nonlinear equations},
author = {Hongjie Dong and Shuhei Kitano},
journal= {arXiv preprint arXiv:2311.04399},
year = {2024}
}