Second order L_p estimates for subsolutions of fully nonlinear equations

2023/11/07 by Dong, Hongjie, Kitano, Shuhei
#35B65 #35J60 #35K55 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.04399

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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