Wσ,ϵ-estimates for nonlocal elliptic equations
Hui Yong Yu · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2016
We prove a W^{\sigma ,\epsilon } -estimate for a class of nonlocal fully nonlinear elliptic equations by following Fanghua Lin's original approach [8] to the analogous problem for second order elliptic equations, by first proving a potential estimate, then combining this estimate with the ABP-type estimate by N. Guillen and R. Schwab to control the size of the superlevel sets of the σ -order derivatives of solutions.