Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations

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• 作者：Sun-Sig Byun^a ; ^{byun@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Mikyoung Lee^b ; ^{mikyounglee@snu.ac.kr" class="auth_mail" title="E-mail the corresponding author} ; Dian K. Palagachev^c ; ^{dian.palagachev@poliba.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 35J60 ; secondary ; 35B45 ; 35D40 ; 35B65
• 刊名：Journal of Differential Equations
• 出版年：2016
• 出版时间：5 March 2016
• 年：2016
• 卷：260
• 期：5
• 页码：4550-4571
• 全文大小：358 K

文摘

We prove global regularity in weighted Lebesgue spaces for the viscosity solutions to the Dirichlet problem for fully nonlinear elliptic equations. As a consequence, regularity in Morrey spaces of the Hessian is derived as well.