Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:260

Article

Byun, Sun-Sig^1,2  Lee, Mikyoung¹  Palagachev, Dian K.³ 

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 151747, South Korea

[3] Politecn Bari, Dipartimento Meccan Matemat & Management, Via Edoardo Orabona 4, I-70125 Bari, Italy

关键词: Fully nonlinear equation;    Viscosity solution;    Hessian estimates;    Weighted Lebesgue space;    Muckenhoupt weight;    Money space;   

DOI  :  10.1016/j.jde.2015.11.025

来源: Elsevier

【 摘 要 】

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 Money spaces of the Hessian is derived as well. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free