Second order Lp estimates for subsolutions of fully nonlinear equations
Abstract
We obtain new Lp estimates for subsolutions to fully nonlinear equations. Based on our Lp estimates, we further study several topics such as the third and fourth order derivative estimates for concave fully nonlinear equations, critical exponents of Lp estimates and maximum principles, and the existence and uniqueness of solutions to fully nonlinear equations on the torus with free terms in the Lp spaces or in the space of Radon measures.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.