Harnck inequalities and Hölder estimates for fully nonlinear integro-differential equations with weak scaling conditions

2022/07/06 by Shuhei Kitano, Kitano, Shuhei
Mathematics · #35R09 #47G20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2207.02617

openalex publication_date 2022/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Hölder estimates and Harnack inequalities are studied for fully nonlinear integro-differential equations under some mild assumptions. We allow the kernels of variable order and critically close to 2.

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