C2-Lusin approximation of strongly convex functions

• 成果类型: Article
• 署名作者: Azagra, Daniel; Drake, Marjorie; Hajlasz, Piotr
• 署名单位: Complutense University of Madrid; Massachusetts Institute of Technology (MIT); Pennsylvania Commonwealth System of Higher Education (PCSHE); University of Pittsburgh
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-024-01252-6
• 发表日期: 2024
• 页码: 1055-1082
• 关键词: sobolev functions; sets

摘要

We prove that if u : R-n -> R strongly convex, then for every epsilon>0 there is a strongly convex function v is an element of C-2(Rn) such that |{u not equal v}|