Smooth approximations for fully nonlinear nonlocal elliptic equations

2023/03/28 by Xavier Fernández‐Real, Fernández-Real, Xavier
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2303.16093

openalex publication_date 2023/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We show that any viscosity solution to a general fully nonlinear nonlocal elliptic equation can be approximated by smooth (C^∞) solutions.

Related

• Smooth Solutions to a Class of Nonlocal Fully Nonlinear Elliptic Equations
• Holder regularity for fully nonlinear nonlocal equations
• Regularity for solutions of fully nonlinear elliptic equations with\n non-homogeneous degeneracy
• Partial regularity of solutions of fully nonlinear uniformly elliptic\n equations
• Boundary regularity for viscosity solutions of fully nonlinear elliptic\n equations