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arXiv · 2311.04399

Second order $L_p$ estimates for subsolutions of fully nonlinear equations

Hongjie Dong·Shuhei Kitano
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Abstract

We obtain new $L_p$ estimates for subsolutions to fully nonlinear equations. Based on our $L_p$ estimates, we further study several topics such as the third and fourth order derivative estimates for concave fully nonlinear equations, critical exponents of $L_p$ estimates and maximum principles, and the existence and uniqueness of solutions to fully nonlinear equations on the torus with free terms in the $L_p$ spaces or in the space of Radon measures.

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Hongjie Dong, Shuhei Kitano. 2023-11-07. Second order $L_p$ estimates for subsolutions of fully nonlinear equations. https://arxiv.org/abs/2311.04399

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