Schauder estimates for nonlocal fully nonlinear equations

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• 作者：Tianling Jin^a ; ^{tj@math.uchicago.edu" class="auth_mail" title="E-mail the corresponding author} ; Jingang Xiong^b ; ^{jx@bnu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35R09 ; 35B65
• 刊名：Annales de l'Institut Henri Poincare (C) Non Linear Analysis
• 出版年：2016
• 出版时间：September-October 2016
• 年：2016
• 卷：33
• 期：5
• 页码：1375-1407
• 全文大小：502 K

文摘

In this paper, we establish pointwise Schauder estimates for solutions of nonlocal fully nonlinear elliptic equations by perturbative arguments. A key ingredient is a recursive Evans–Krylov theorem for nonlocal fully nonlinear translation invariant equations.