Nonuniformly elliptic Schauder theory

• 成果类型: Article
• 署名作者: De Filippis, Cristiana; Mingione, Giuseppe
• 署名单位: University of Parma
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-023-01216-2
• 发表日期: 2023
• 页码: 1109-1196
• 关键词: interior gradient bounds; differential-equations; multiple integrals; REGULARITY; minima; functionals; minimizers; dirichlet; calculus; systems

摘要

Local Schauder theory holds in the nonuniformly elliptic setting. Specifically, first derivatives of solutions to nonuniformly elliptic problems are locally Holder continuous if so are their coefficients.