Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels

2010/11/16 by Yong‐Cheol Kim, Kim, Yong-Cheol, Ki-Ahm Lee +1
Mathematics · #35B65 #35D10 #35J60 #45K05 #47G20 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1011.3565

openalex publication_date 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider fully nonlinear integro-differential equations with possibly nonsymmetric kernels. We are able to find different versions of Alexandroff-Backelman-Pucci estimate corresponding to the full class \cS^\fL₀ of uniformly elliptic nonlinear equations with 1

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