Interior regularity for nonlocal fully nonlinear equations with Dini continuous terms

2015/10/16 by Chenchen Mou, Mou, Chenchen
Computer Science · Mathematics · #35D40 #35J60 #35R09 #45K05 #47G20 #93E20 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1510.04987

openalex publication_date 2015/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is concerned with interior regularity of viscosity solutions of non-translation invariant nonlocal fully nonlinear equations with Dini continuous terms. We obtain C^σ regularity estimates for the nonlocal equations by perturbative methods and a version of a recursive Evans-Krylov theorem.

Citations

• The Evans-Krylov theorem for nonlocal fully nonlinear equations
• Regularity of the obstacle problem for a fractional power of the laplace operator

Related

• Holder regularity for fully nonlinear nonlocal equations
• Optimal Regularity for Fully Nonlinear Nonlocal Equations with Unbounded Source Terms
• C^2s regularity for fully nonlinear nonlocal equations with bounded right hand side
• Regularity estimates for fully nonlinear integro-differential equations with nonhomogeneous degeneracy
• Regularity results for nonlocal equations by approximation