Dini estimates for nonlocal fully nonlinear elliptic equations

Abstract

We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order $\sigma \in (0,2)$ with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined $C^{\sigma +\alpha }$ estimate in [8].

23 pages, submitted

References in corpus (3)

• Regularity for parabolic integro-differential equations with very irregular kernels
• On Schauder estimates for a class of nonlocal fully nonlinear parabolic equations
• On the $C^1$ regularity of solutions to divergence form elliptic systems with Dini-continuous coefficients